313007040 has 168 divisors, whose sum is σ = 1083399408. Its totient is φ = 82944000.

The previous prime is 313007033. The next prime is 313007059. The reversal of 313007040 is 40700313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 722664 + ... + 723096.

It is an arithmetic number, because the mean of its divisors is an integer number (6448806).

Almost surely, 2^313007040 is an apocalyptic number.

313007040 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 313007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541699704).

313007040 is an abundant number, since it is smaller than the sum of its proper divisors (770392368).

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

313007040 is a wasteful number, since it uses less digits than its factorization.

313007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 313007040 is about 17692.0049739988. The cubic root of 313007040 is about 678.9712240439.

Adding to 313007040 its reverse (40700313), we get a palindrome (353707353).

The spelling of 313007040 in words is "three hundred thirteen million, seven thousand, forty".