334139904 has 200 divisors, whose sum is σ = 1140784128. Its totient is φ = 95385600.

The previous prime is 334139893. The next prime is 334139957. The reversal of 334139904 is 409931433.

It is a super-2 number, since 2×334139904² = 223298950890258432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 289729 + ... + 290879.

Almost surely, 2^334139904 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 334139904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570392064).

334139904 is an abundant number, since it is smaller than the sum of its proper divisors (806644224).

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

334139904 is an equidigital number, since it uses as much as digits as its factorization.

334139904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 334139904 is about 18279.4940849029. The cubic root of 334139904 is about 693.9200687508.

The spelling of 334139904 in words is "three hundred thirty-four million, one hundred thirty-nine thousand, nine hundred four".