313794090 has 96 divisors (see below), whose sum is σ = 860461056. Its totient is φ = 79223040.

The previous prime is 313794017. The next prime is 313794097. The reversal of 313794090 is 90497313.

It is not an unprimeable number, because it can be changed into a prime (313794097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129934 + ... + 132326.

It is an arithmetic number, because the mean of its divisors is an integer number (8963136).

Almost surely, 2^313794090 is an apocalyptic number.

313794090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313794090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430230528).

313794090 is an abundant number, since it is smaller than the sum of its proper divisors (546666966).

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

313794090 is a wasteful number, since it uses less digits than its factorization.

313794090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 313794090 is about 17714.2341070677. The cubic root of 313794090 is about 679.5398342866.

The spelling of 313794090 in words is "three hundred thirteen million, seven hundred ninety-four thousand, ninety".