242304210 has 80 divisors (see below), whose sum is σ = 654053400. Its totient is φ = 64364544.

The previous prime is 242304199. The next prime is 242304211. The reversal of 242304210 is 12403242.

242304210 is a `hidden beast` number, since 242 + 3 + 0 + 421 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 151807041 + 90497169 = 12321^2 + 9513^2 .

It is a super-2 number, since 2×242304210² = 117422660367448200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (242304211) 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, 314706 + ... + 315474.

Almost surely, 2^242304210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242304210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327026700).

242304210 is an abundant number, since it is smaller than the sum of its proper divisors (411749190).

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

242304210 is a wasteful number, since it uses less digits than its factorization.

242304210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1168 counting only the distinct ones).

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

The square root of 242304210 is about 15566.1237949594. The cubic root of 242304210 is about 623.4289802103.

Adding to 242304210 its reverse (12403242), we get a palindrome (254707452).

The spelling of 242304210 in words is "two hundred forty-two million, three hundred four thousand, two hundred ten".