242412324 has 48 divisors (see below), whose sum is σ = 705202176. Its totient is φ = 62964000.

The previous prime is 242412311. The next prime is 242412329. The reversal of 242412324 is 423214242.

242412324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×242412324⁴ (a number of 35 digits) contains 4444 as substring.

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 = 242412294 and 242412303.

It is not an unprimeable number, because it can be changed into a prime (242412329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130252 + ... + 132099.

It is an arithmetic number, because the mean of its divisors is an integer number (14691712).

Almost surely, 2^242412324 is an apocalyptic number.

It is an amenable number.

242412324 is an abundant number, since it is smaller than the sum of its proper divisors (462789852).

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

242412324 is a wasteful number, since it uses less digits than its factorization.

242412324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262376 (or 262374 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 242412324 is about 15569.5961411978. The cubic root of 242412324 is about 623.5216892593.

Adding to 242412324 its reverse (423214242), we get a palindrome (665626566).

It can be divided in two parts, 24241 and 2324, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 242412324 in words is "two hundred forty-two million, four hundred twelve thousand, three hundred twenty-four".