313526304 has 216 divisors, whose sum is σ = 1117591020. Its totient is φ = 82639872.

The previous prime is 313526293. The next prime is 313526327. The reversal of 313526304 is 403625313.

It is a happy number.

313526304 is a `hidden beast` number, since 3 + 1 + 352 + 6 + 304 = 666.

313526304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 273836304 + 39690000 = 16548^2 + 6300^2 .

It is a zygodrome in base 12.

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 35 ways as a sum of consecutive naturals, for example, 182602 + ... + 184310.

Almost surely, 2^313526304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313526304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558795510).

313526304 is an abundant number, since it is smaller than the sum of its proper divisors (804064716).

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

313526304 is a wasteful number, since it uses less digits than its factorization.

313526304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 313526304 is about 17706.6739959824. The cubic root of 313526304 is about 679.3464770841.

Subtracting 313526304 from its reverse (403625313), we obtain a palindrome (90099009).

The spelling of 313526304 in words is "three hundred thirteen million, five hundred twenty-six thousand, three hundred four".