242312320 has 64 divisors (see below), whose sum is σ = 609796800. Its totient is φ = 91819008.

The previous prime is 242312299. The next prime is 242312321. The reversal of 242312320 is 23213242.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (242312321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2197 + ... + 22123.

It is an arithmetic number, because the mean of its divisors is an integer number (9528075).

Almost surely, 2^242312320 is an apocalyptic number.

242312320 is a gapful number since it is divisible by the number (20) 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 242312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304898400).

242312320 is an abundant number, since it is smaller than the sum of its proper divisors (367484480).

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

242312320 is a wasteful number, since it uses less digits than its factorization.

242312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19965 (or 19953 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 242312320 is about 15566.3842943697. The cubic root of 242312320 is about 623.4359355890.

Adding to 242312320 its reverse (23213242), we get a palindrome (265525562).

The spelling of 242312320 in words is "two hundred forty-two million, three hundred twelve thousand, three hundred twenty".