313540040 has 48 divisors (see below), whose sum is σ = 775440540. Its totient is φ = 114012800.

The previous prime is 313540039. The next prime is 313540043. The reversal of 313540040 is 40045313.

It can be written as a sum of positive squares in 2 ways, for example, as 308986084 + 4553956 = 17578^2 + 2134^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 313539994 and 313540021.

It is not an unprimeable number, because it can be changed into a prime (313540043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27551 + ... + 37230.

Almost surely, 2^313540040 is an apocalyptic number.

It is an amenable number.

313540040 is an abundant number, since it is smaller than the sum of its proper divisors (461900500).

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

313540040 is a wasteful number, since it uses less digits than its factorization.

313540040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64814 (or 64799 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 313540040 is about 17707.0618680796. The cubic root of 313540040 is about 679.3563979603.

Adding to 313540040 its reverse (40045313), we get a palindrome (353585353).

The spelling of 313540040 in words is "three hundred thirteen million, five hundred forty thousand, forty".