242341632 has 360 divisors, whose sum is σ = 831008640. Its totient is φ = 69672960.

The previous prime is 242341607. The next prime is 242341633. The reversal of 242341632 is 236143242.

242341632 is a `hidden beast` number, since 2 + 4 + 23 + 4 + 1 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 242341596 and 242341605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242341633) 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 39 ways as a sum of consecutive naturals, for example, 7817457 + ... + 7817487.

Almost surely, 2^242341632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242341632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415504320).

242341632 is an abundant number, since it is smaller than the sum of its proper divisors (588667008).

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

242341632 is a wasteful number, since it uses less digits than its factorization.

242341632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 78 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 242341632 is about 15567.3257819062. The cubic root of 242341632 is about 623.4610731434.

Adding to 242341632 its reverse (236143242), we get a palindrome (478484874).

The spelling of 242341632 in words is "two hundred forty-two million, three hundred forty-one thousand, six hundred thirty-two".