313712040 has 64 divisors (see below), whose sum is σ = 990676800. Its totient is φ = 79252992.

The previous prime is 313712017. The next prime is 313712051. The reversal of 313712040 is 40217313.

It is a junction number, because it is equal to n+sod(n) for n = 313711998 and 313712016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66517 + ... + 71076.

It is an arithmetic number, because the mean of its divisors is an integer number (15479325).

Almost surely, 2^313712040 is an apocalyptic number.

313712040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313712040 is an abundant number, since it is smaller than the sum of its proper divisors (676964760).

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

313712040 is a wasteful number, since it uses less digits than its factorization.

313712040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137626 (or 137622 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 313712040 is about 17711.9180214905. The cubic root of 313712040 is about 679.4806010659.

Adding to 313712040 its reverse (40217313), we get a palindrome (353929353).

It can be divided in two parts, 31371 and 2040, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 313712040 in words is "three hundred thirteen million, seven hundred twelve thousand, forty".