331312032 has 144 divisors (see below), whose sum is σ = 987360192. Its totient is φ = 109278720.

The previous prime is 331312027. The next prime is 331312043. The reversal of 331312032 is 230213133.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 331311996 and 331312014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1065157 + ... + 1065467.

It is an arithmetic number, because the mean of its divisors is an integer number (6856668).

Almost surely, 2^331312032 is an apocalyptic number.

331312032 is a gapful number since it is divisible by the number (32) 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 331312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493680096).

331312032 is an abundant number, since it is smaller than the sum of its proper divisors (656048160).

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

331312032 is a wasteful number, since it uses less digits than its factorization.

331312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 331312032 is about 18201.9787935268. The cubic root of 331312032 is about 691.9569398624.

Adding to 331312032 its reverse (230213133), we get a palindrome (561525165).

The spelling of 331312032 in words is "three hundred thirty-one million, three hundred twelve thousand, thirty-two".