242303760 has 60 divisors (see below), whose sum is σ = 813739212. Its totient is φ = 64614144.

The previous prime is 242303701. The next prime is 242303777. The reversal of 242303760 is 67303242.

It can be written as a sum of positive squares in 2 ways, for example, as 106254864 + 136048896 = 10308^2 + 11664^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×242303760² = 117422224220275200, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 167547 + ... + 168986.

Almost surely, 2^242303760 is an apocalyptic number.

242303760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242303760 is an abundant number, since it is smaller than the sum of its proper divisors (571435452).

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

242303760 is a wasteful number, since it uses less digits than its factorization.

242303760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336552 (or 336543 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 242303760 is about 15566.1093404871. The cubic root of 242303760 is about 623.4285942723.

The spelling of 242303760 in words is "two hundred forty-two million, three hundred three thousand, seven hundred sixty".