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313429761 = 32103333713
BaseRepresentation
bin10010101011101…
…000111100000001
3210211202212210200
4102223220330001
51120214223021
651033515413
710524052251
oct2253507401
9724685720
10313429761
11150a17467
1288b72b69
134cc207c8
142d8ab961
151c7b3126
hex12ae8f01

313429761 has 12 divisors (see below), whose sum is σ = 453183588. Its totient is φ = 208744704.

The previous prime is 313429733. The next prime is 313429769. The reversal of 313429761 is 167924313.

It can be written as a sum of positive squares in 2 ways, for example, as 186732225 + 126697536 = 13665^2 + 11256^2 .

It is not a de Polignac number, because 313429761 - 25 = 313429729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313429769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7560 + ... + 26153.

It is an arithmetic number, because the mean of its divisors is an integer number (37765299).

Almost surely, 2313429761 is an apocalyptic number.

It is an amenable number.

313429761 is a deficient number, since it is larger than the sum of its proper divisors (139753827).

313429761 is a wasteful number, since it uses less digits than its factorization.

313429761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34752 (or 34749 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 313429761 is about 17703.9476106319. The cubic root of 313429761 is about 679.2767403728.

The spelling of 313429761 in words is "three hundred thirteen million, four hundred twenty-nine thousand, seven hundred sixty-one".

Divisors: 1 3 9 1033 3099 9297 33713 101139 303417 34825529 104476587 313429761