332033312 has 48 divisors (see below), whose sum is σ = 726711552. Its totient is φ = 148296960.

The previous prime is 332033311. The next prime is 332033321. The reversal of 332033312 is 213330233.

It is a super-2 number, since 2×332033312² = 220492240555378688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332033311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23 + ... + 25769.

It is an arithmetic number, because the mean of its divisors is an integer number (15139824).

Almost surely, 2^332033312 is an apocalyptic number.

332033312 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 332033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363355776).

332033312 is an abundant number, since it is smaller than the sum of its proper divisors (394678240).

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

332033312 is a wasteful number, since it uses less digits than its factorization.

332033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25801 (or 25793 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 332033312 is about 18221.7812521169. The cubic root of 332033312 is about 692.4587155377.

Adding to 332033312 its reverse (213330233), we get a palindrome (545363545).

The spelling of 332033312 in words is "three hundred thirty-two million, thirty-three thousand, three hundred twelve".