313344304 has 160 divisors (see below), whose sum is σ = 796199040. Its totient is φ = 116121600.

The previous prime is 313344301. The next prime is 313344331. The reversal of 313344304 is 403443313.

It is not an unprimeable number, because it can be changed into a prime (313344301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1731094 + ... + 1731274.

It is an arithmetic number, because the mean of its divisors is an integer number (4976244).

Almost surely, 2^313344304 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 313344304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398099520).

313344304 is an abundant number, since it is smaller than the sum of its proper divisors (482854736).

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

313344304 is a wasteful number, since it uses less digits than its factorization.

313344304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

The square root of 313344304 is about 17701.5339448309. The cubic root of 313344304 is about 679.2149995554.

Adding to 313344304 its reverse (403443313), we get a palindrome (716787617).

Subtracting 313344304 from its reverse (403443313), we obtain a palindrome (90099009).

The spelling of 313344304 in words is "three hundred thirteen million, three hundred forty-four thousand, three hundred four".