313332304 has 40 divisors (see below), whose sum is σ = 650583360. Its totient is φ = 145663488.

The previous prime is 313332293. The next prime is 313332307. The reversal of 313332304 is 403233313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313332307) 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 7 ways as a sum of consecutive naturals, for example, 15637 + ... + 29515.

It is an arithmetic number, because the mean of its divisors is an integer number (16264584).

Almost surely, 2^313332304 is an apocalyptic number.

313332304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313332304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325291680).

313332304 is an abundant number, since it is smaller than the sum of its proper divisors (337251056).

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

313332304 is a wasteful number, since it uses less digits than its factorization.

313332304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13987 (or 13981 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

The square root of 313332304 is about 17701.1949879097. The cubic root of 313332304 is about 679.2063289186.

Adding to 313332304 its reverse (403233313), we get a palindrome (716565617).

The spelling of 313332304 in words is "three hundred thirteen million, three hundred thirty-two thousand, three hundred four".