242706144 has 96 divisors (see below), whose sum is σ = 680472576. Its totient is φ = 75479040.

The previous prime is 242706119. The next prime is 242706157. The reversal of 242706144 is 441607242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206679 + ... + 207849.

It is an arithmetic number, because the mean of its divisors is an integer number (7088256).

Almost surely, 2^242706144 is an apocalyptic number.

242706144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242706144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340236288).

242706144 is an abundant number, since it is smaller than the sum of its proper divisors (437766432).

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

242706144 is a wasteful number, since it uses less digits than its factorization.

242706144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 242706144 is about 15579.0289812941. The cubic root of 242706144 is about 623.7735042542.

The spelling of 242706144 in words is "two hundred forty-two million, seven hundred six thousand, one hundred forty-four".