353 (number)

← 352 353 354 →
List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	three hundred fifty-three
Ordinal	353rd (three hundred and fifty-third)
Factorization	353
Prime	yes
Roman numeral	CCCLIII
Binary	1011000012
Ternary	1110023
Quaternary	112014
Quinary	24035
Senary	13456
Octal	5418
Duodecimal	25512
Hexadecimal	16116
Vigesimal	HD20
Base 36	9T36

353 is the natural number between 352 and 354. It is a prime number.

In mathematics

In connection with Euler's sum of powers conjecture, 353 is the smallest number whose 4th power is equal to the sum of four other 4th powers, as discovered by R. Norrie in 1911:

$353^4=30^4+120^4+272^4+315^4.$

353 is a palindromic prime, an irregular prime, and a super-prime. 353 is one of the solutions to the stamp folding problem: there are exactly 353 ways to fold a strip of eight blank stamps into a single flat pile of stamps. In a seven-team round robin tournament, there are 353 combinatorially distinct outcomes in which no subset of teams wins all its games against the teams outside the subset; mathematically, there are 353 strongly connected tournaments on seven nodes.

Other uses

353 is also the country code for telephone numbers in the Republic of Ireland.