240142032 has 120 divisors (see below), whose sum is σ = 729126944. Its totient is φ = 73343232.

The previous prime is 240141973. The next prime is 240142033. The reversal of 240142032 is 230241042.

240142032 is a `hidden beast` number, since 240 + 1 + 420 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 240141996 and 240142014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240142033) 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 23 ways as a sum of consecutive naturals, for example, 304743 + ... + 305529.

Almost surely, 2^240142032 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 240142032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364563472).

240142032 is an abundant number, since it is smaller than the sum of its proper divisors (488984912).

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

240142032 is a wasteful number, since it uses less digits than its factorization.

240142032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 240142032 is about 15496.5167699067. The cubic root of 240142032 is about 621.5690676955.

Adding to 240142032 its reverse (230241042), we get a palindrome (470383074).

The spelling of 240142032 in words is "two hundred forty million, one hundred forty-two thousand, thirty-two".