242284064 has 48 divisors (see below), whose sum is σ = 521894016. Its totient is φ = 109804800.

The previous prime is 242284043. The next prime is 242284079. The reversal of 242284064 is 460482242.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 242284064.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 150914 + ... + 152510.

It is an arithmetic number, because the mean of its divisors is an integer number (10872792).

Almost surely, 2^242284064 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 242284064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260947008).

242284064 is an abundant number, since it is smaller than the sum of its proper divisors (279609952).

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

242284064 is a wasteful number, since it uses less digits than its factorization.

242284064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 242284064 is about 15565.4766711463. The cubic root of 242284064 is about 623.4117017262.

The spelling of 242284064 in words is "two hundred forty-two million, two hundred eighty-four thousand, sixty-four".