This article is about the numbers 300 to 399. For other uses of 300, see 300 (disambiguation). For the guitar, see Gibson ES-335. For the British tilting train, see British Rail Class 390. For the Dada magazine, see 391 (magazine). For the automobile, see Volvo 340 and Porsche 356. For the global warming awareness movement, see 350.org.

? 299 301 ? 300
List of numbers ? Integers ? 0 100 200 300 400 500 600 700 800 900 ?
Cardinal	three hundred
Ordinal	300th (three hundredth)
Factorization
Roman numeral	CCC
Binary	1001011002
Octal	4548
Duodecimal	21012
Hexadecimal	12C16
Hebrew	? (Shin)

300 (three hundred) is the natural number following 299 and preceding 301.

Mathematical properties

It is a triangular number and the sum of a pair of twin primes (149 + 151), as well as the sum of ten consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47). It is a Harshad number.

Other fields

Three hundred is

• The Three Hundred, the name given to the Spartans who fought to the death at the Battle of Thermopylae (although two were sent away prior to the battle and survived, Aristodemus and Pantites).
• Movies about the Three Hundred and the battle:
  • 300 Spartans (1962)
  • 300 (2007)
• In bowling, a perfect score, achieved by rolling strikes in all ten frames (a total of twelve strikes).
• The lowest possible Fair Isaac cr score.
• In cars:
  • Chrysler 300 (during the 1950s and 1960s, accompanied by a letter).
  • Nissan 300ZX
• In paintball, 300 ft/s is the maximum legal velocity of a shot paintball.

Integers from 301 to 399

301 = 7·43, is the sum of three consecutive primes (97 + 101 + 103), happy number in base 10; HTTP status code, indicating the content has been moved and the change is permanent (permanent redirect). It is also the number of a debated Turkish penal code.

302 = 2·151, Nontotient, also a HTTP status code indicating the content has been moved (temporary redirect). Also the displacement in cubic inches of Ford's "5.0" V8.

303 = 3·101, the "See Other" HTTP status code, indicating content can be found elsewhere.

304 = 2⁴·19, sum of six consecutive primes (41 + 43 + 47 + 53 + 59 + 61), sum of eight consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), primitive semiperfect number, untouchable number, nontotient, a HTTP code indicated the content has not been modified, record number of wickets taken in English cricket season by Tich Freeman in 1928.

305 = 5·61, HTTP status code indicating a proxy must be used

306 = 2·3²·17, sum of four consecutive primes (71 + 73 + 79 + 83), pronic number, Harshad number, untouchable number

307, prime number, Chen prime, HTTP status code for "Temporary Redirect"

308 = 2²·7·11, Nontotient, totient sum of the first 31 integers, Harshad number. heptagonal pyrimidal number, sum of two consecutive primes (151 + 157).

309 = 3·103

310s

310 = 2·5·31, sphenic number, noncototient, self number

311: see 311 (disambiguation)

312 = 2³·3·13, Harshad number, self number

313, prime number, palindromic prime, centered square number

314 = 2·157, Nontotient.

315 = 3²·5·7, Harshad number

316 = 2²·79, centered triangular number, centered heptagonal number

317, Prime number, Eisenstein prime with no imaginary part, Chen prime, strictly non-palindromic number; also shorthand for the LM317 adjustable regulator chip.

318 = 2·3·53, sphenic number, nontotient

319 = 11·29, sum of three consecutive primes (103 + 107 + 109), Smith number, cannot be represented as the sum of fewer than 19 4th powers, happy number in base 10, a song by Prince.

320s

320 = 2⁶·5 = (2⁵)·(2·5), Leyland number, a popular bitrate, maximum determinant of a 10 by 10 matrix of zeros and ones, Harshad number.

321 = 3·107

322 = 2·7·23, sphenic number, nontotient, Harshad number, untouchable number. Also seen as a Skull and Bones reference of power

323 = 17·19, sum of nine consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), Motzkin number, self number. see 323 (disambiguation)

324 = 2²·3⁴ = 18², sum of four consecutive primes (73 + 79 + 83 + 89), totient sum of the first 32 integers, untouchable number, Harshad number.

325 = 5²·13, triangular number, hexagonal number, nonagonal number, centered nonagonal number. 325 is the smallest number to be the sum of two squares in 3 different ways: 1² + 18² , 6² + 17² and 10² + 15². It is also the smallest (and only known) 3-hyperperfect number.

326 = 2·163, Nontotient, noncototient, untouchable number.

327 = 3·109, perfect totient number.

328 = 2³·41, sum of the first fifteen primes, refactorable number.

329 = 7·47, sum of three consecutive primes (107 + 109 + 113), highly cototient number.

330s

330 = 2·3·5·11, sum of six consecutive primes (43 + 47 + 53 + 59 + 61 + 67), pentatope number, divisible by the number of primes below it, sparsely totient number, Harshad number, also the number of dimples on a British golf ball.

331, prime number, cuban prime, sum of five consecutive primes (59 + 61 + 67 + 71 + 73), centered pentagonal number, centered hexagonal number, Mertens function returns 0.

332 = 2²·83, Mertens function returns 0.

333 = 3²·37, Mertens function returns 0, Harshad number. Shorthand for <333, meaning 'MUCH LOVE' (more 3's = more hearts) Symbolically used to represent Choronzon, a demon used in the philosophy of Thelema

334 = 2·167, Nontotient, self number, long-time highest score in test cricket (held by Sir Donald Bradman and Mark Taylor)

335 = 5·67, divisible by the number of primes below it.

336 = 2⁴·3·7, Harshad number, untouchable number, also the number of dimples on an American golf ball.

337, prime number, permutable prime with 373 and 733, Chen prime, star number

338 = 2·13², Nontotient.

339 = 3·113

340s

340 = 2²·5·17, sum of eight consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), sum of ten consecutive primes (17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), sum of the first four powers of 4 (4¹ + 4² + 4³ + 4⁴), divisible by the number of primes below it, nontotient, noncototient.

341 = 11·31, sum of seven consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61), octagonal number, centered cube number, super-Poulet number. 341 = 11·31 is the least composite odd modulus m greater than the base b, that satisfies the Fermat property "b^m-1 - 1 is divisible by m", for bases less than 100 of b = 2, 15, 60, 63 and 78.

342 = 2·3²·19, pronic number, Harshad number, untouchable number. The number of international appearances by Kristine Lilly for the USA women's national football (soccer) team, an all-time record for the sport.

343 = 7³, nice Friedman number since 343 = (3 + 4)³. It is z in a triplet (x,y,z) such that x⁵ + y² = z³. The number of New York City Firefighters who died September 11, 2001. The number of the monitor of Installation 04 (343 Guilty Spark) in the Halo series of games. The panel number of the Russian T-80 tank driven by James Bond in the movie GoldenEye. The number of frames in which U.S. President John F. Kennedy's presidential limousine can be seen in the Zapruder film. The speed of sound in dry air at 20 °C (68 °F) is 343 m/s.

344 = 2³·43, octahedral number, noncototient, totient sum of the first 33 integers, refactorable number.

345 = 3·5·23, sphenic number, self number.

346 = 2·173, Smith number, noncototient.

347, prime number, safe prime, Eisenstein prime with no imaginary part, Chen prime, Friedman number since 347 = 7³ + 4, strictly non-palindromic number.

348 = 2²·3·29, sum of four consecutive primes (79 + 83 + 89 + 97), refactorable number.

349, prime number, sum of three consecutive primes (109 + 113 + 127), the number of seats in the Swedish parliament.

350s

350 = 2·5²·7, primitive semiperfect number, divisible by the number of primes below it, nontotient.

351 = 3³·13, triangular number, sum of five consecutive primes (61 + 67 + 71 + 73 + 79), member of Padovan sequence, Harshad number.

352 = 2⁵·11, the number of n-Queens Problem solutions for n = 9.

353, prime number, Chen prime, Proth prime, Eisenstein prime with no imaginary part, palindromic prime, Mertens function returns 0. 353 is the smallest 4th power that is the sum of 4 other 4th powers, discovered by Norrie in 1911: 353⁴ = 30⁴ + 120⁴ + 272⁴ + 215⁴.

354 = 2·3·59, sphenic number, nontotient, also SMTP code meaning start of mail input.

355 = 5·71, Smith number, Mertens function returns 0, divisible by the number of primes below it. the numerator of the best simplified rational approximation of pi having a denominator of four digits or fewer. This fraction (355/113) is known as Milü.

356 = 2²·89, Mertens function returns 0, self number.

357 = 3·7·17, sphenic number.

358 = 2·179, sum of six consecutive primes (47 + 53 + 59 + 61 + 67 + 71), Mertens function returns 0.

359, prime number, safe prime, Eisenstein prime with no imaginary part, Chen prime, strictly non-palindromic number.

360s

360 has its own article.

361 = 19², centered triangular number, centered octagonal number, centered decagonal number, member of the Mian-Chowla sequence; also the number of positions on a standard 19 x 19 Go board.

362 = 2·181, Mertens function returns 0, nontotient, noncototient.

363 = 3·11², sum of nine consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Mertens function returns 0, perfect totient number.

364 = 2²·7·13, tetrahedral number, Mertens function returns 0, nontotient, Harshad number. It is a repdigit in base 3 (111111), base 9 (444), base 25 (EE), base 27 (DD), base 51 (77) and base 90 (44). The total number of gifts received in the song "The Twelve Days of Christmas".

365 has its own article

366 = 2·3·61, sphenic number, Mertens function returns 0, noncototient. Also, the number of days in a leap year; it is 26-gonal and 123-gonal.

367 is a prime number, self number, happy number, and a strictly non-palindromic number.

368 = Is 2⁴·23, it is also a Leyland number.

369 is the magic constant of the 9×9 normal magic square and n-Queens Problem for n = 9; there are 369 free polyominoes of order 8. With 370, a Ruth-Aaron pair with only distinct prime factors counted.

370s

370 = Base 10 Armstrong number since 3³ + 7³ + 0³ = 370, 2·5·37, sphenic number, sum of four consecutive primes (83 + 89 + 97 + 101), Nontotient, with 369 part of a Ruth-Aaron pair with only distinct prime factors counted, Harshad number, System/370 is a computing architecture from IBM, 370 spells "OLE" when entered on a calculator turned upside-down.

371 = 7·53, Armstrong number since 3³ + 7³ + 1³ = 371, sum of three consecutive primes (113 + 127 + 131), sum of seven consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67), sum of the primes from its least to its greatest prime factor (sequence A055233 in OEIS), the next such composite number is 2935561623745.

372 = 2²·3·31, sum of eight consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), Harshad number, noncototient, untouchable number, refactorable number.

373, prime number, balanced prime, sum of five consecutive primes (67 + 71 + 73 + 79 + 83), permutable prime with 337 and 733, palindromic prime.

374 = 2·11·17, sphenic number, nontotient.

375 = 3·5³, Harshad number

376 = 2³·47, 1-automorphic number, nontotient, refactorable number.

377 = 13·29, Fibonacci number, sum of the squares of the first six primes.

378 = 2·3³·7, triangular number, hexagonal number, Smith number, Harshad number, self number.

379, prime number, Chen prime, happy number in base 10

380s

380 = 2²·5·19, pronic number, also, model number of the Airbus A380, the largest aircraft as of 2005.

381 = 3·127, sum of the first sixteen primes. Palindrome in base 2 and base 8. Represents the term "I Love You", (3) words, (8) letters, (1) meaning.

382 = 2·191, sum of ten consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Smith number.

383, prime number, safe prime, Woodall prime, Thabit number, Eisenstein prime with no imaginary part, palindromic prime.

384 has its own article

385 = 5·7·11, sphenic number, square pyramidal number.

386 = 2·193, Nontotient, noncototient, nonagonal number, centered heptagonal number, also shorthand for the Intel 80386 microprocessor chip. 386 generation refers to South Koreans, especially politicians, born in the '60s (ko:386 ??). Number of Pokémon in 3rd Generation National Pokédex.

387 = 3²·43, also shorthand for the Intel 80387, math coprocessor chip to the 386.

388 = 2²·97

389, prime number, Eisenstein prime with no imaginary part, Chen prime, highly cototient number, self number, strictly non-palindromic number. Also, 389 equals the displacement in cubic inches of the famous Pontiac GTO V-8 engine of 1964-1966. Smallest conductor of a rank 2 Elliptic curve. The port number for LDAP, and the name for the Fedora Directory Server project.

390s

390 = 2·3·5·13, sum of four consecutive primes (89 + 97 + 101 + 103), nontotient, System/390 is a computing architecture from IBM.

391 = 17·23, Smith number, centered pentagonal number.

392 = 2³·7², Harshad number.

393 = 3·131, Mertens function returns 0.

394 = 2·197, Nontotient, noncototient.

395 = 5·79, sum of three consecutive primes (127 + 131 + 137), sum of five consecutive primes (71 + 73 + 79 + 83 + 89).

396 = 2²·3²·11, sum of a twin prime (197 + 199), totient sum of the first 36 integers, refactorable number, Harshad number.

397, prime number, cuban prime, centered hexagonal number.

398 = 2·199, Nontotient.

399 = 3·7·19, sphenic number, smallest Lucas-Carmichael number, Harshad number.

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Events

By place

Roman Empire

• September 6?Battle of the Frigidus: Emperor Theodosius I defeats and kills the usurper Eugenius and his Frankish magister militum Arbogast.
• The sacred fire of the Roman Empire stops burning (see Vesta and Vestal Virgins).
• 200,000 soldiers guard the borders, and a reserve force of 50,000 is available for deployment. Many Roman soldiers are from Germanic tribes.
• An obelisk, taken from Egypt, is erected near the hippodrome in Constantinople.
• Emperor Theodosius I bans the Olympic Games.

Egypt

• The last known Hieroglyph is written in Philae, Egypt.

By topic

Religion

• Epiphanius of Salamis attacks Origen as a heretic.
• The Council of Bagaï in Africa brings 310 Donatist bishops together.

Births

• Gunabhadra, Indian Buddhist scholar-monk
• Jangsu of Gorguryeo, 20th monarch of Goguryeo

Deaths

• Libanius, rhetorician (approximate date)
• Didymus the Blind, theologian
• Fu Chong
• Fu Deng
• Murong Yong
• Yao Chang