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313424249 is a prime number
BaseRepresentation
bin10010101011100…
…111100101111001
3210211202121020112
4102223213211321
51120214033444
651033434105
710524030215
oct2253474571
9724677215
10313424249
11150a13306
1288b6b935
134cc1b148
142d8a9945
151c7b169e
hex12ae7979

313424249 has 2 divisors, whose sum is σ = 313424250. Its totient is φ = 313424248.

The previous prime is 313424183. The next prime is 313424261. The reversal of 313424249 is 942424313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231648400 + 81775849 = 15220^2 + 9043^2 .

It is a cyclic number.

It is not a de Polignac number, because 313424249 - 212 = 313420153 is a prime.

It is a super-2 number, since 2×3134242492 = 196469519722428002, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (313424149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156712124 + 156712125.

It is an arithmetic number, because the mean of its divisors is an integer number (156712125).

Almost surely, 2313424249 is an apocalyptic number.

It is an amenable number.

313424249 is a deficient number, since it is larger than the sum of its proper divisors (1).

313424249 is an equidigital number, since it uses as much as digits as its factorization.

313424249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 32.

The square root of 313424249 is about 17703.7919384521. The cubic root of 313424249 is about 679.2727584117.

The spelling of 313424249 in words is "three hundred thirteen million, four hundred twenty-four thousand, two hundred forty-nine".