315144032 has 48 divisors (see below), whose sum is σ = 746403840. Its totient is φ = 127951488.

The previous prime is 315144019. The next prime is 315144041. The reversal of 315144032 is 230441513.

It is a junction number, because it is equal to n+sod(n) for n = 315143989 and 315144007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32768 + ... + 41279.

It is an arithmetic number, because the mean of its divisors is an integer number (15550080).

Almost surely, 2^315144032 is an apocalyptic number.

315144032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

315144032 is an abundant number, since it is smaller than the sum of its proper divisors (431259808).

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

315144032 is a wasteful number, since it uses less digits than its factorization.

315144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74083 (or 74075 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 315144032 is about 17752.2965274919. The cubic root of 315144032 is about 680.5129002372.

Adding to 315144032 its reverse (230441513), we get a palindrome (545585545).

The spelling of 315144032 in words is "three hundred fifteen million, one hundred forty-four thousand, thirty-two".