313440200 has 48 divisors (see below), whose sum is σ = 736978500. Its totient is φ = 123960320.

The previous prime is 313440187. The next prime is 313440217. The reversal of 313440200 is 2044313.

313440200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 100922116 + 212518084 = 10046^2 + 14578^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8996 + ... + 26604.

Almost surely, 2^313440200 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 313440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368489250).

313440200 is an abundant number, since it is smaller than the sum of its proper divisors (423538300).

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

313440200 is a wasteful number, since it uses less digits than its factorization.

313440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17714 (or 17705 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 313440200 is about 17704.2424294292. The cubic root of 313440200 is about 679.2842815533.

Adding to 313440200 its reverse (2044313), we get a palindrome (315484513).

It can be divided in two parts, 3134 and 40200, that added together give a palindrome (43334).

The spelling of 313440200 in words is "three hundred thirteen million, four hundred forty thousand, two hundred".