313412034 has 64 divisors (see below), whose sum is σ = 725034240. Its totient is φ = 89456640.

The previous prime is 313412009. The next prime is 313412069. The reversal of 313412034 is 430214313.

It is a self number, because there is not a number n which added to its sum of digits gives 313412034.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 92482 + ... + 95810.

It is an arithmetic number, because the mean of its divisors is an integer number (11328660).

Almost surely, 2^313412034 is an apocalyptic number.

313412034 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313412034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362517120).

313412034 is an abundant number, since it is smaller than the sum of its proper divisors (411622206).

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

313412034 is a wasteful number, since it uses less digits than its factorization.

313412034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435.

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

The square root of 313412034 is about 17703.4469525005. The cubic root of 313412034 is about 679.2639339248.

Adding to 313412034 its reverse (430214313), we get a palindrome (743626347).

The spelling of 313412034 in words is "three hundred thirteen million, four hundred twelve thousand, thirty-four".