313643824 has 80 divisors (see below), whose sum is σ = 696330432. Its totient is φ = 135742464.

The previous prime is 313643821. The next prime is 313643851. The reversal of 313643824 is 428346313.

It is a self number, because there is not a number n which added to its sum of digits gives 313643824.

It is not an unprimeable number, because it can be changed into a prime (313643821) 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 15 ways as a sum of consecutive naturals, for example, 252934 + ... + 254170.

Almost surely, 2^313643824 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 313643824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348165216).

313643824 is an abundant number, since it is smaller than the sum of its proper divisors (382686608).

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

313643824 is a wasteful number, since it uses less digits than its factorization.

313643824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1328 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The square root of 313643824 is about 17709.9922077905. The cubic root of 313643824 is about 679.4313469699.

The spelling of 313643824 in words is "three hundred thirteen million, six hundred forty-three thousand, eight hundred twenty-four".