242310944 has 48 divisors (see below), whose sum is σ = 494097408. Its totient is φ = 116900352.

The previous prime is 242310919. The next prime is 242310953. The reversal of 242310944 is 449013242.

242310944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242310944² = 117429187164342272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108689 + ... + 110895.

It is an arithmetic number, because the mean of its divisors is an integer number (10293696).

Almost surely, 2^242310944 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 242310944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247048704).

242310944 is an abundant number, since it is smaller than the sum of its proper divisors (251786464).

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

242310944 is a wasteful number, since it uses less digits than its factorization.

242310944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 242310944 is about 15566.3400965031. The cubic root of 242310944 is about 623.4347555012.

The spelling of 242310944 in words is "two hundred forty-two million, three hundred ten thousand, nine hundred forty-four".