318020352 has 144 divisors (see below), whose sum is σ = 930248928. Its totient is φ = 95846400.

The previous prime is 318020323. The next prime is 318020357. The reversal of 318020352 is 253020813.

318020352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×318020352² = 202273888572407808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (318020357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528852 + ... + 529452.

It is an arithmetic number, because the mean of its divisors is an integer number (6460062).

Almost surely, 2^318020352 is an apocalyptic number.

318020352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318020352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465124464).

318020352 is an abundant number, since it is smaller than the sum of its proper divisors (612228576).

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

318020352 is a wasteful number, since it uses less digits than its factorization.

318020352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 672 counting only the distinct ones).

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

The square root of 318020352 is about 17833.1251327410. The cubic root of 318020352 is about 682.5769806767.

It can be divided in two parts, 3180 and 20352, that added together give a palindrome (23532).

The spelling of 318020352 in words is "three hundred eighteen million, twenty thousand, three hundred fifty-two".