313210240 has 128 divisors (see below), whose sum is σ = 863262720. Its totient is φ = 106444800.

The previous prime is 313210213. The next prime is 313210241. The reversal of 313210240 is 42012313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313210241) 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, 676249 + ... + 676711.

It is an arithmetic number, because the mean of its divisors is an integer number (6744240).

Almost surely, 2^313210240 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 313210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431631360).

313210240 is an abundant number, since it is smaller than the sum of its proper divisors (550052480).

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

313210240 is a wasteful number, since it uses less digits than its factorization.

313210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 313210240 is about 17697.7467492334. The cubic root of 313210240 is about 679.1181186186.

Adding to 313210240 its reverse (42012313), we get a palindrome (355222553).

The spelling of 313210240 in words is "three hundred thirteen million, two hundred ten thousand, two hundred forty".