313520240 has 80 divisors (see below), whose sum is σ = 816778080. Its totient is φ = 110914560.

The previous prime is 313520237. The next prime is 313520257. The reversal of 313520240 is 42025313.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27746 + ... + 37374.

It is an arithmetic number, because the mean of its divisors is an integer number (10209726).

Almost surely, 2^313520240 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 313520240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408389040).

313520240 is an abundant number, since it is smaller than the sum of its proper divisors (503257840).

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

313520240 is a wasteful number, since it uses less digits than its factorization.

313520240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9690 (or 9684 counting only the distinct ones).

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

The square root of 313520240 is about 17706.5027602856. The cubic root of 313520240 is about 679.3420972457.

Adding to 313520240 its reverse (42025313), we get a palindrome (355545553).

The spelling of 313520240 in words is "three hundred thirteen million, five hundred twenty thousand, two hundred forty".