313652040 has 128 divisors (see below), whose sum is σ = 1073036160. Its totient is φ = 72658944.

The previous prime is 313651993. The next prime is 313652051. The reversal of 313652040 is 40256313.

It is a happy number.

313652040 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 313652040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20607 + ... + 32433.

It is an arithmetic number, because the mean of its divisors is an integer number (8383095).

Almost surely, 2^313652040 is an apocalyptic number.

313652040 is a gapful number since it is divisible by the number (30) 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 313652040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536518080).

313652040 is an abundant number, since it is smaller than the sum of its proper divisors (759384120).

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

313652040 is a wasteful number, since it uses less digits than its factorization.

313652040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11871 (or 11867 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 313652040 is about 17710.2241657185. The cubic root of 313652040 is about 679.4372795584.

The spelling of 313652040 in words is "three hundred thirteen million, six hundred fifty-two thousand, forty".