242963712 has 90 divisors (see below), whose sum is σ = 724535658. Its totient is φ = 80980992.

The previous prime is 242963657. The next prime is 242963729. The reversal of 242963712 is 217369242.

242963712 is a `hidden beast` number, since 2 + 4 + 2 + 9 + 637 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 129413376 + 113550336 = 11376^2 + 10656^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 14878 + ... + 26594.

Almost surely, 2^242963712 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 242963712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362267829).

242963712 is an abundant number, since it is smaller than the sum of its proper divisors (481571946).

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

242963712 is an equidigital number, since it uses as much as digits as its factorization.

242963712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11745 (or 11722 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 242963712 is about 15587.2932865203. The cubic root of 242963712 is about 623.9940827841.

The spelling of 242963712 in words is "two hundred forty-two million, nine hundred sixty-three thousand, seven hundred twelve".