334080 has 108 divisors (see below), whose sum is σ = 1195740. Its totient is φ = 86016.

The previous prime is 334069. The next prime is 334093. The reversal of 334080 is 80433.

It can be written as a sum of positive squares in 2 ways, for example, as 147456 + 186624 = 384^2 + 432^2 .

It is a super-2 number, since 2×334080² = 223218892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

334080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11506 + ... + 11534.

2³³⁴⁰⁸⁰ is an apocalyptic number.

334080 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 334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597870).

334080 is an abundant number, since it is smaller than the sum of its proper divisors (861660).

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

334080 is a wasteful number, since it uses less digits than its factorization.

334080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 334080 is about 577.9965397820. The cubic root of 334080 is about 69.3878598026.

The spelling of 334080 in words is "three hundred thirty-four thousand, eighty".