363 (number)

363 (three hundred [and] sixty-three) is the natural number following 362 and preceding 364.

← 362 363 364 →
List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	three hundred sixty-three
Ordinal	363rd (three hundred sixty-third)
Factorization	3 × 11^2
Divisors	1, 3, 11, 33, 121, 363
Greek numeral	ΤΞΓ´
Roman numeral	CCCLXIII
Binary	1011010112
Ternary	1111103
Octal	5538
Duodecimal	26312
Hexadecimal	16B16

In mathematics

• 363 is the sum of nine consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59).
• It is an odd, composite, positive, real integer, composed of a prime (3) and a prime squared (11²).
• The 363rd day in a year is 29 December (28 December in leap years).
• 363 is a palindromic number in bases 3, 10, 11 and 32.
• Any subset of its digits is divisible by three.
• 363 is a repdigit (BB) in base 32.
• 363 is a 122-gonal number.
• 363 is a deficient number.
• 363 is the sum of five consecutive powers of 3 (3 + 9 + 27 + 81 + 243) deficient number.
• The Mertens function returns 0.[1]
• 363 cubits is the solution given to Rhind Mathematical Papyrus question 50 – find the side length of an octagon with the same area as a circle 9 khet in diameter .
• 363 can be expressed as the sum of three squares in four different ways: 11² + 11² + 11², 5² + 7² + 17², 1² + 1² + 19², and 13² + 13² + 5².
• 363 is a perfect totient number.

In other fields

• The years AD 363 (in base 35 written AD AD) and 363 BC (in base 32 written BB BC).
• 363 may be associated with the messiah
• Food additive E363 is succinic acid a food acid.
• 363 Padua is a (probably typical Main Band) asteroid.
• 363 is attested in Egyptian mythology. In the Edfu texts for example it appears to be associated with Thoth.
• 363 main keys in numerology : The Creative, Innovative.
• USS Balch (DD-363) was a Porter-class destroyer in the United States Navy.
• 363 is the number of communes of the Maine-et-Loire département in France.
• 363 is the London Laburnum dialling code for Winchmore Hill.
• In Unicode the macron ū is ū
• In May 1877, 363 French deputies passed the vote of no confidence in the duc de Broglie - the Seize Mai.
• Arpa mailing lists are dealt with in RFC 363
• RSVP is assigned port 363 see RFC 2205
• Naphthalene is dealt with in PIM (Poisons Information Monograph) 363
• Form 363 is the Companies House annual return filed in the United Kingdom.

References

1. "Sloane's A028442 : Numbers n such that Mertens' function is zero". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02.