334980 has 36 divisors (see below), whose sum is σ = 1016652. Its totient is φ = 89280.

The previous prime is 334973. The next prime is 334987. The reversal of 334980 is 89433.

It is an interprime number because it is at equal distance from previous prime (334973) and next prime (334987).

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 298116 = 192^2 + 546^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×334980² = 224423200800, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (334987) by changing a digit.

334980 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 751 + ... + 1110.

2³³⁴⁹⁸⁰ is an apocalyptic number.

334980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334980 is an abundant number, since it is smaller than the sum of its proper divisors (681672).

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

334980 is a wasteful number, since it uses less digits than its factorization.

334980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 334980 is about 578.7745675131. The cubic root of 334980 is about 69.4501134335.

The spelling of 334980 in words is "three hundred thirty-four thousand, nine hundred eighty".