313545040 has 80 divisors (see below), whose sum is σ = 754482960. Its totient is φ = 121098240.

The previous prime is 313544983. The next prime is 313545041. The reversal of 313545040 is 40545313.

It can be written as a sum of positive squares in 8 ways, for example, as 1245456 + 312299584 = 1116^2 + 17672^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 313544996 and 313545014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313545041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357082 + ... + 357958.

It is an arithmetic number, because the mean of its divisors is an integer number (9431037).

Almost surely, 2^313545040 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 313545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377241480).

313545040 is an abundant number, since it is smaller than the sum of its proper divisors (440937920).

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

313545040 is a wasteful number, since it uses less digits than its factorization.

313545040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 313545040 is about 17707.2030541246. The cubic root of 313545040 is about 679.3600091566.

The spelling of 313545040 in words is "three hundred thirteen million, five hundred forty-five thousand, forty".