313796000 has 144 divisors (see below), whose sum is σ = 897433992. Its totient is φ = 107520000.

The previous prime is 313795961. The next prime is 313796003. The reversal of 313796000 is 697313.

It can be written as a sum of positive squares in 4 ways, for example, as 204718864 + 109077136 = 14308^2 + 10444^2 .

It is not an unprimeable number, because it can be changed into a prime (313796003) 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 23 ways as a sum of consecutive naturals, for example, 195200 + ... + 196800.

Almost surely, 2^313796000 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 313796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448716996).

313796000 is an abundant number, since it is smaller than the sum of its proper divisors (583637992).

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

313796000 is a wasteful number, since it uses less digits than its factorization.

313796000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 29.

The square root of 313796000 is about 17714.2880184330. The cubic root of 313796000 is about 679.5412130235.

The spelling of 313796000 in words is "three hundred thirteen million, seven hundred ninety-six thousand".