330991104 has 80 divisors (see below), whose sum is σ = 886572720. Its totient is φ = 109731840.

The previous prime is 330991099. The next prime is 330991127. The reversal of 330991104 is 401199033.

330991104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×330991104² = 219110221854277632, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 351274 + ... + 352214.

It is an arithmetic number, because the mean of its divisors is an integer number (11082159).

Almost surely, 2^330991104 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 330991104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443286360).

330991104 is an abundant number, since it is smaller than the sum of its proper divisors (555581616).

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

330991104 is an equidigital number, since it uses as much as digits as its factorization.

330991104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 330991104 is about 18193.1609128266. The cubic root of 330991104 is about 691.7334445099.

The spelling of 330991104 in words is "three hundred thirty million, nine hundred ninety-one thousand, one hundred four".