313140432 has 80 divisors (see below), whose sum is σ = 890746560. Its totient is φ = 94003200.

The previous prime is 313140431. The next prime is 313140449. The reversal of 313140432 is 234041313.

313140432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 313140399 and 313140408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313140431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54832 + ... + 60272.

It is an arithmetic number, because the mean of its divisors is an integer number (11134332).

Almost surely, 2^313140432 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 313140432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445373280).

313140432 is an abundant number, since it is smaller than the sum of its proper divisors (577606128).

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

313140432 is a wasteful number, since it uses less digits than its factorization.

313140432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5572 (or 5566 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 313140432 is about 17695.7744108587. The cubic root of 313140432 is about 679.0676611366.

Adding to 313140432 its reverse (234041313), we get a palindrome (547181745).

The spelling of 313140432 in words is "three hundred thirteen million, one hundred forty thousand, four hundred thirty-two".