# 363 (number)

From HandWiki

__: Natural number__

**Short description**
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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 | 101101011_{2} | |||

Ternary | 111110_{3} | |||

Quaternary | 11223_{4} | |||

Quinary | 2423_{5} | |||

Senary | 1403_{6} | |||

Octal | 553_{8} | |||

Duodecimal | 263_{12} | |||

Hexadecimal | 16B_{16} | |||

Vigesimal | I3_{20} | |||

Base 36 | A3_{36} |

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

## In mathematics

- It is an odd, composite, positive, real integer, composed of a prime (3) and a prime squared (11
^{2}). - 363 is a deficient number and a perfect totient number.
- 363 is a palindromic number in bases 3, 10, 11 and 32.
- 363 is a repdigit (BB) in base 32.
- The Mertens function returns 0.
^{[1]} - Any subset of its digits is divisible by three.
- 363 is the sum of nine consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59).
- 363 is the sum of five consecutive powers of 3 (3 + 9 + 27 + 81 + 243).
- 363 can be expressed as the sum of three squares in four different ways: 11
^{2}+ 11^{2}+ 11^{2}, 5^{2}+ 7^{2}+ 17^{2}, 1^{2}+ 1^{2}+ 19^{2}, and 13^{2}+ 13^{2}+ 5^{2}. - 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 [1].

## In other fields

- The years AD 363 (in base 35 written AD AD) and 363 BC (in base 32 written BB BC).
- The 363rd day in a year is 29 December (28 December in leap years).
- 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
*France*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

Original source: https://en.wikipedia.org/wiki/363 (number).
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