334804320 has 192 divisors, whose sum is σ = 1233792000. Its totient is φ = 84561408.

The previous prime is 334804303. The next prime is 334804331. The reversal of 334804320 is 23408433.

334804320 is a `hidden beast` number, since 334 + 8 + 0 + 4 + 320 = 666.

It is a super-2 number, since 2×334804320² = 224187865381324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 80041 + ... + 84119.

It is an arithmetic number, because the mean of its divisors is an integer number (6426000).

Almost surely, 2^334804320 is an apocalyptic number.

334804320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334804320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616896000).

334804320 is an abundant number, since it is smaller than the sum of its proper divisors (898987680).

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

334804320 is a wasteful number, since it uses less digits than its factorization.

334804320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 334804320 is about 18297.6588666419. The cubic root of 334804320 is about 694.3797029114.

The spelling of 334804320 in words is "three hundred thirty-four million, eight hundred four thousand, three hundred twenty".