242806032 has 160 divisors (see below), whose sum is σ = 831375360. Its totient is φ = 66337920.

The previous prime is 242806021. The next prime is 242806033. The reversal of 242806032 is 230608242.

242806032 is digitally balanced in base 2, 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 242805987 and 242806005.

It is not an unprimeable number, because it can be changed into a prime (242806033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67807 + ... + 71297.

It is an arithmetic number, because the mean of its divisors is an integer number (5196096).

Almost surely, 2^242806032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242806032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415687680).

242806032 is an abundant number, since it is smaller than the sum of its proper divisors (588569328).

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

242806032 is a wasteful number, since it uses less digits than its factorization.

242806032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 242806032 is about 15582.2344995832. The cubic root of 242806032 is about 623.8590658047.

The spelling of 242806032 in words is "two hundred forty-two million, eight hundred six thousand, thirty-two".