242346816 has 84 divisors (see below), whose sum is σ = 720417152. Its totient is φ = 80777088.

The previous prime is 242346779. The next prime is 242346821. The reversal of 242346816 is 618643242.

242346816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7761 + ... + 23343.

Almost surely, 2^242346816 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 242346816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360208576).

242346816 is an abundant number, since it is smaller than the sum of its proper divisors (478070336).

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

242346816 is an equidigital number, since it uses as much as digits as its factorization.

242346816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15610 (or 15588 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 242346816 is about 15567.4922836017. The cubic root of 242346816 is about 623.4655186571.

The spelling of 242346816 in words is "two hundred forty-two million, three hundred forty-six thousand, eight hundred sixteen".