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313786496 = 272984533
BaseRepresentation
bin10010101101000…
…000000010000000
3210212110000011002
4102231000002000
51120312131441
651045311132
710530066302
oct2255000200
9725400132
10313786496
11151140491
12891054a8
1350016caa
142d961972
151c833b9b
hex12b40080

313786496 has 32 divisors (see below), whose sum is σ = 646685100. Its totient is φ = 151481344.

The previous prime is 313786483. The next prime is 313786511. The reversal of 313786496 is 694687313.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 300536896 + 13249600 = 17336^2 + 3640^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 313786496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38555 + ... + 45978.

Almost surely, 2313786496 is an apocalyptic number.

It is an amenable number.

313786496 is an abundant number, since it is smaller than the sum of its proper divisors (332898604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313786496 is an equidigital number, since it uses as much as digits as its factorization.

313786496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84576 (or 84564 counting only the distinct ones).

The product of its digits is 653184, while the sum is 47.

The square root of 313786496 is about 17714.0197583722. The cubic root of 313786496 is about 679.5343524889.

The spelling of 313786496 in words is "three hundred thirteen million, seven hundred eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 84533 169066 338132 676264 1352528 2451457 2705056 4902914 5410112 9805828 10820224 19611656 39223312 78446624 156893248 313786496