242832384 has 88 divisors (see below), whose sum is σ = 719233920. Its totient is φ = 80934912.

The previous prime is 242832349. The next prime is 242832391. The reversal of 242832384 is 483238242.

It is a happy number.

242832384 is a `hidden beast` number, since 242 + 8 + 32 + 384 = 666.

242832384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23257 + ... + 32039.

Almost surely, 2^242832384 is an apocalyptic number.

242832384 is a gapful number since it is divisible by the number (24) 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 242832384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359616960).

242832384 is an abundant number, since it is smaller than the sum of its proper divisors (476401536).

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

242832384 is an equidigital number, since it uses as much as digits as its factorization.

242832384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8812 (or 8788 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 242832384 is about 15583.0800549827. The cubic root of 242832384 is about 623.8816343535.

The spelling of 242832384 in words is "two hundred forty-two million, eight hundred thirty-two thousand, three hundred eighty-four".