331291104 has 72 divisors (see below), whose sum is σ = 923880888. Its totient is φ = 103925760.

The previous prime is 331291091. The next prime is 331291127. The reversal of 331291104 is 401192133.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21774 + ... + 33714.

It is an arithmetic number, because the mean of its divisors is an integer number (12831679).

Almost surely, 2^331291104 is an apocalyptic number.

331291104 is a gapful number since it is divisible by the number (34) 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 331291104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461940444).

331291104 is an abundant number, since it is smaller than the sum of its proper divisors (592589784).

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

331291104 is a wasteful number, since it uses less digits than its factorization.

331291104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11988 (or 11963 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 331291104 is about 18201.4039018972. The cubic root of 331291104 is about 691.9423699320.

The spelling of 331291104 in words is "three hundred thirty-one million, two hundred ninety-one thousand, one hundred four".