242322320 has 40 divisors (see below), whose sum is σ = 566886336. Its totient is φ = 96329088.

The previous prime is 242322313. The next prime is 242322323. The reversal of 242322320 is 23223242.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 242322292 and 242322301.

It is not an unprimeable number, because it can be changed into a prime (242322323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3749 + ... + 22331.

Almost surely, 2^242322320 is an apocalyptic number.

242322320 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 242322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283443168).

242322320 is an abundant number, since it is smaller than the sum of its proper divisors (324564016).

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

242322320 is a wasteful number, since it uses less digits than its factorization.

242322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18759 (or 18753 counting only the distinct ones).

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

The square root of 242322320 is about 15566.7054960258. The cubic root of 242322320 is about 623.4445116746. Note that the first 3 decimals are identical.

Adding to 242322320 its reverse (23223242), we get a palindrome (265545562).

The spelling of 242322320 in words is "two hundred forty-two million, three hundred twenty-two thousand, three hundred twenty".