313287968 has 192 divisors, whose sum is σ = 805593600. Its totient is φ = 119218176.

The previous prime is 313287959. The next prime is 313287971. The reversal of 313287968 is 869782313.

313287968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (435456) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is an unprimeable number.

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, 4291580 + ... + 4291652.

It is an arithmetic number, because the mean of its divisors is an integer number (4195800).

Almost surely, 2^313287968 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 313287968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402796800).

313287968 is an abundant number, since it is smaller than the sum of its proper divisors (492305632).

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

313287968 is a wasteful number, since it uses less digits than its factorization.

313287968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 122 counting only the distinct ones).

The product of its digits is 435456, while the sum is 47.

The square root of 313287968 is about 17699.9425987770. The cubic root of 313287968 is about 679.1742918854.

The spelling of 313287968 in words is "three hundred thirteen million, two hundred eighty-seven thousand, nine hundred sixty-eight".