242370336 has 72 divisors (see below), whose sum is σ = 688973040. Its totient is φ = 74570496.

The previous prime is 242370287. The next prime is 242370347. The reversal of 242370336 is 633073242.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8755 + ... + 23693.

It is an arithmetic number, because the mean of its divisors is an integer number (9569070).

Almost surely, 2^242370336 is an apocalyptic number.

242370336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242370336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344486520).

242370336 is an abundant number, since it is smaller than the sum of its proper divisors (446602704).

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

242370336 is a wasteful number, since it uses less digits than its factorization.

242370336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14978 (or 14957 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 30.

The square root of 242370336 is about 15568.2476855939. The cubic root of 242370336 is about 623.4856873213.

The spelling of 242370336 in words is "two hundred forty-two million, three hundred seventy thousand, three hundred thirty-six".