242343200 has 72 divisors (see below), whose sum is σ = 645427440. Its totient is φ = 88121600.

The previous prime is 242343197. The next prime is 242343209. The reversal of 242343200 is 2343242.

242343200 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 (20).

It is not an unprimeable number, because it can be changed into a prime (242343209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4970 + ... + 22569.

It is an arithmetic number, because the mean of its divisors is an integer number (8964270).

Almost surely, 2^242343200 is an apocalyptic number.

242343200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242343200 is an abundant number, since it is smaller than the sum of its proper divisors (403084240).

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

242343200 is a wasteful number, since it uses less digits than its factorization.

242343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27570 (or 27557 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 242343200 is about 15567.3761437180. The cubic root of 242343200 is about 623.4624177807.

Adding to 242343200 its reverse (2343242), we get a palindrome (244686442).

The spelling of 242343200 in words is "two hundred forty-two million, three hundred forty-three thousand, two hundred".