242914304 has 44 divisors (see below), whose sum is σ = 489118368. Its totient is φ = 120576000.

The previous prime is 242914279. The next prime is 242914307. The reversal of 242914304 is 403419242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242914307) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 153839 + ... + 155409.

Almost surely, 2^242914304 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 242914304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244559184).

242914304 is an abundant number, since it is smaller than the sum of its proper divisors (246204064).

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

242914304 is a wasteful number, since it uses less digits than its factorization.

242914304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1724 counting only the distinct ones).

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

The square root of 242914304 is about 15585.7083252575. The cubic root of 242914304 is about 623.9517823799.

The spelling of 242914304 in words is "two hundred forty-two million, nine hundred fourteen thousand, three hundred four".