242947328 has 72 divisors (see below), whose sum is σ = 536635848. Its totient is φ = 109043712.

The previous prime is 242947307. The next prime is 242947339. The reversal of 242947328 is 823749242.

It can be written as a sum of positive squares in 4 ways, for example, as 17707264 + 225240064 = 4208^2 + 15008^2 .

It is a congruent number.

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, 122150 + ... + 124122.

Almost surely, 2^242947328 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 242947328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268317924).

242947328 is an abundant number, since it is smaller than the sum of its proper divisors (293688520).

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

242947328 is a wasteful number, since it uses less digits than its factorization.

242947328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 2025 counting only the distinct ones).

The product of its digits is 193536, while the sum is 41.

The square root of 242947328 is about 15586.7677213719. The cubic root of 242947328 is about 623.9800563426.

The spelling of 242947328 in words is "two hundred forty-two million, nine hundred forty-seven thousand, three hundred twenty-eight".