315343000 has 128 divisors (see below), whose sum is σ = 888076800. Its totient is φ = 102384000.

The previous prime is 315342961. The next prime is 315343001. The reversal of 315343000 is 343513.

315343000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315343001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131815 + ... + 134185.

It is an arithmetic number, because the mean of its divisors is an integer number (6938100).

Almost surely, 2^315343000 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 315343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444038400).

315343000 is an abundant number, since it is smaller than the sum of its proper divisors (572733800).

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

315343000 is a wasteful number, since it uses less digits than its factorization.

315343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 315343000 is about 17757.8996505780. The cubic root of 315343000 is about 680.6560853544.

Adding to 315343000 its reverse (343513), we get a palindrome (315686513).

The spelling of 315343000 in words is "three hundred fifteen million, three hundred forty-three thousand".