382943232 has 270 divisors, whose sum is σ = 1311138738. Its totient is φ = 107347968.

The previous prime is 382943221. The next prime is 382943243. The reversal of 382943232 is 232349283.

382943232 is a `hidden beast` number, since 382 + 9 + 43 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (382943221) and next prime (382943243).

It can be written as a sum of positive squares in only one way, i.e., 354041856 + 28901376 = 18816^2 + 5376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7225318 + ... + 7225370.

Almost surely, 2^382943232 is an apocalyptic number.

382943232 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 382943232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655569369).

382943232 is an abundant number, since it is smaller than the sum of its proper divisors (928195506).

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

382943232 is an equidigital number, since it uses as much as digits as its factorization.

382943232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 65 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 382943232 is about 19568.9353823860. The cubic root of 382943232 is about 726.1808624367.

The spelling of 382943232 in words is "three hundred eighty-two million, nine hundred forty-three thousand, two hundred thirty-two".