242077344 has 48 divisors (see below), whose sum is σ = 644176512. Its totient is φ = 79584768.

The previous prime is 242077327. The next prime is 242077361. The reversal of 242077344 is 443770242.

It is an interprime number because it is at equal distance from previous prime (242077327) and next prime (242077361).

It is a tau number, because it is divible by the number of its divisors (48).

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, 10264 + ... + 24279.

It is an arithmetic number, because the mean of its divisors is an integer number (13420344).

Almost surely, 2^242077344 is an apocalyptic number.

242077344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242077344 is an abundant number, since it is smaller than the sum of its proper divisors (402099168).

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

242077344 is a wasteful number, since it uses less digits than its factorization.

242077344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34629 (or 34621 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 33.

The square root of 242077344 is about 15558.8349178208. The cubic root of 242077344 is about 623.2343502131.

The spelling of 242077344 in words is "two hundred forty-two million, seventy-seven thousand, three hundred forty-four".