313424040 has 128 divisors (see below), whose sum is σ = 979925760. Its totient is φ = 80123904.

The previous prime is 313424017. The next prime is 313424051. The reversal of 313424040 is 40424313.

It is a junction number, because it is equal to n+sod(n) for n = 313423998 and 313424016.

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, 323637 + ... + 324603.

It is an arithmetic number, because the mean of its divisors is an integer number (7655670).

Almost surely, 2^313424040 is an apocalyptic number.

313424040 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 313424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489962880).

313424040 is an abundant number, since it is smaller than the sum of its proper divisors (666501720).

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

313424040 is a wasteful number, since it uses less digits than its factorization.

313424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 313424040 is about 17703.7860357608. The cubic root of 313424040 is about 679.2726074257.

Adding to 313424040 its reverse (40424313), we get a palindrome (353848353).

The spelling of 313424040 in words is "three hundred thirteen million, four hundred twenty-four thousand, forty".