334004013 has 64 divisors (see below), whose sum is σ = 590233600. Its totient is φ = 182658240.

The previous prime is 334004009. The next prime is 334004029. The reversal of 334004013 is 310400433.

It is not a de Polignac number, because 334004013 - 2² = 334004009 is a prime.

It is a super-2 number, since 2×334004013² = 223117361400208338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334004003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 638370 + ... + 638892.

It is an arithmetic number, because the mean of its divisors is an integer number (9222400).

Almost surely, 2^334004013 is an apocalyptic number.

It is an amenable number.

334004013 is a deficient number, since it is larger than the sum of its proper divisors (256229587).

334004013 is a wasteful number, since it uses less digits than its factorization.

334004013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 334004013 is about 18275.7766729625. The cubic root of 334004013 is about 693.8259861255.

Adding to 334004013 its reverse (310400433), we get a palindrome (644404446).

The spelling of 334004013 in words is "three hundred thirty-four million, four thousand, thirteen".