313730664 has 128 divisors (see below), whose sum is σ = 881664000. Its totient is φ = 92378880.

The previous prime is 313730639. The next prime is 313730701. The reversal of 313730664 is 466037313.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1576437 + ... + 1576635.

It is an arithmetic number, because the mean of its divisors is an integer number (6888000).

Almost surely, 2^313730664 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 313730664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440832000).

313730664 is an abundant number, since it is smaller than the sum of its proper divisors (567933336).

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

313730664 is a wasteful number, since it uses less digits than its factorization.

313730664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 313730664 is about 17712.4437613786. The cubic root of 313730664 is about 679.4940469384.

Adding to 313730664 its reverse (466037313), we get a palindrome (779767977).

The spelling of 313730664 in words is "three hundred thirteen million, seven hundred thirty thousand, six hundred sixty-four".