332001312 has 48 divisors (see below), whose sum is σ = 879675552. Its totient is φ = 109629440.

The previous prime is 332001301. The next prime is 332001317. The reversal of 332001312 is 213100233.

332001312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×332001312² = 220449742339442688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332001291 and 332001300.

It is not an unprimeable number, because it can be changed into a prime (332001317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5889 + ... + 26432.

It is an arithmetic number, because the mean of its divisors is an integer number (18326574).

Almost surely, 2^332001312 is an apocalyptic number.

332001312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

332001312 is an abundant number, since it is smaller than the sum of its proper divisors (547674240).

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

332001312 is a wasteful number, since it uses less digits than its factorization.

332001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32441 (or 32433 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 332001312 is about 18220.9031609303. The cubic root of 332001312 is about 692.4364693854.

Adding to 332001312 its reverse (213100233), we get a palindrome (545101545).

The spelling of 332001312 in words is "three hundred thirty-two million, one thousand, three hundred twelve".