334105080 has 128 divisors (see below), whose sum is σ = 1067904000. Its totient is φ = 83331072.

The previous prime is 334105069. The next prime is 334105087. The reversal of 334105080 is 80501433.

It is a super-2 number, since 2×334105080² = 223252408963612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 334105080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334105087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405549 + ... + 406371.

It is an arithmetic number, because the mean of its divisors is an integer number (8343000).

Almost surely, 2^334105080 is an apocalyptic number.

334105080 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 334105080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533952000).

334105080 is an abundant number, since it is smaller than the sum of its proper divisors (733798920).

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

334105080 is a wasteful number, since it uses less digits than its factorization.

334105080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 334105080 is about 18278.5415173093. The cubic root of 334105080 is about 693.8959611722.

The spelling of 334105080 in words is "three hundred thirty-four million, one hundred five thousand, eighty".