313120434 has 64 divisors (see below), whose sum is σ = 700047360. Its totient is φ = 92568000.

The previous prime is 313120427. The next prime is 313120441. The reversal of 313120434 is 434021313.

It is an interprime number because it is at equal distance from previous prime (313120427) and next prime (313120441).

It is a self number, because there is not a number n which added to its sum of digits gives 313120434.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743544 + ... + 743964.

It is an arithmetic number, because the mean of its divisors is an integer number (10938240).

Almost surely, 2^313120434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313120434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350023680).

313120434 is an abundant number, since it is smaller than the sum of its proper divisors (386926926).

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

313120434 is a wasteful number, since it uses less digits than its factorization.

313120434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687.

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

The square root of 313120434 is about 17695.2093516861. The cubic root of 313120434 is about 679.0532051260.

Adding to 313120434 its reverse (434021313), we get a palindrome (747141747).

The spelling of 313120434 in words is "three hundred thirteen million, one hundred twenty thousand, four hundred thirty-four".