315344000 has 64 divisors (see below), whose sum is σ = 784063800. Its totient is φ = 126131200.

The previous prime is 315343981. The next prime is 315344027. The reversal of 315344000 is 443513.

It can be written as a sum of positive squares in 4 ways, for example, as 94167616 + 221176384 = 9704^2 + 14872^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 6146 + ... + 25854.

Almost surely, 2^315344000 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 315344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392031900).

315344000 is an abundant number, since it is smaller than the sum of its proper divisors (468719800).

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

315344000 is an equidigital number, since it uses as much as digits as its factorization.

315344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19738 (or 19716 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 315344000 is about 17757.9278070387. The cubic root of 315344000 is about 680.6568048412.

Adding to 315344000 its reverse (443513), we get a palindrome (315787513).

The spelling of 315344000 in words is "three hundred fifteen million, three hundred forty-four thousand".