313303040 has 56 divisors (see below), whose sum is σ = 751979700. Its totient is φ = 125304832.

The previous prime is 313302973. The next prime is 313303043. The reversal of 313303040 is 40303313.

It can be written as a sum of positive squares in 2 ways, for example, as 274763776 + 38539264 = 16576^2 + 6208^2 .

It is not an unprimeable number, because it can be changed into a prime (313303043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37136 + ... + 44784.

Almost surely, 2^313303040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375989850).

313303040 is an abundant number, since it is smaller than the sum of its proper divisors (438676660).

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

313303040 is an frugal number, since it uses more digits than its factorization.

313303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7680 (or 7656 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 313303040 is about 17700.3683577489. The cubic root of 313303040 is about 679.1851831971.

Adding to 313303040 its reverse (40303313), we get a palindrome (353606353).

The spelling of 313303040 in words is "three hundred thirteen million, three hundred three thousand, forty".