242334800 has 30 divisors (see below), whose sum is σ = 582210318. Its totient is φ = 96933760.

The previous prime is 242334731. The next prime is 242334811. The reversal of 242334800 is 8433242.

242334800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 21752896 + 220581904 = 4664^2 + 14852^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242334800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 302519 + ... + 303318.

Almost surely, 2^242334800 is an apocalyptic number.

242334800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242334800 is an abundant number, since it is smaller than the sum of its proper divisors (339875518).

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

242334800 is a wasteful number, since it uses less digits than its factorization.

242334800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605855 (or 605844 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 242334800 is about 15567.1063463959. The cubic root of 242334800 is about 623.4552142985.

The spelling of 242334800 in words is "two hundred forty-two million, three hundred thirty-four thousand, eight hundred".