315348 has 24 divisors (see below), whose sum is σ = 803040. Its totient is φ = 95520.

The previous prime is 315313. The next prime is 315349. The reversal of 315348 is 843513.

It is a super-2 number, since 2×315348² = 198888722208, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 315348.

It is not an unprimeable number, because it can be changed into a prime (315349) by changing a digit.

315348 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 1063 + ... + 1326.

It is an arithmetic number, because the mean of its divisors is an integer number (33460).

2³¹⁵³⁴⁸ is an apocalyptic number.

It is an amenable number.

315348 is an abundant number, since it is smaller than the sum of its proper divisors (487692).

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

315348 is a wasteful number, since it uses less digits than its factorization.

315348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2405 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 315348 is about 561.5585454786. The cubic root of 315348 is about 68.0659682773.

It can be divided in two parts, 3 and 15348, that added together give a palindrome (15351).

The spelling of 315348 in words is "three hundred fifteen thousand, three hundred forty-eight".