242134632 has 96 divisors (see below), whose sum is σ = 693950400. Its totient is φ = 76059648.

The previous prime is 242134631. The next prime is 242134661. The reversal of 242134632 is 236431242.

242134632 is a `hidden beast` number, since 2 + 4 + 21 + 3 + 4 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 242134596 and 242134605.

It is not an unprimeable number, because it can be changed into a prime (242134631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359448 + ... + 360120.

It is an arithmetic number, because the mean of its divisors is an integer number (7228650).

Almost surely, 2^242134632 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 242134632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346975200).

242134632 is an abundant number, since it is smaller than the sum of its proper divisors (451815768).

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

242134632 is a wasteful number, since it uses less digits than its factorization.

242134632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 960 counting only the distinct ones).

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

The square root of 242134632 is about 15560.6758207990. The cubic root of 242134632 is about 623.2835094787.

Adding to 242134632 its reverse (236431242), we get a palindrome (478565874).

The spelling of 242134632 in words is "two hundred forty-two million, one hundred thirty-four thousand, six hundred thirty-two".