242336000 has 72 divisors (see below), whose sum is σ = 603768984. Its totient is φ = 96921600.

The previous prime is 242335991. The next prime is 242336033. The reversal of 242336000 is 633242.

It can be written as a sum of positive squares in 4 ways, for example, as 5914624 + 236421376 = 2432^2 + 15376^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28214 + ... + 35786.

Almost surely, 2^242336000 is an apocalyptic number.

242336000 is a gapful number since it is divisible by the number (20) 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 242336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301884492).

242336000 is an abundant number, since it is smaller than the sum of its proper divisors (361432984).

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

242336000 is an frugal number, since it uses more digits than its factorization.

242336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7604 (or 7580 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 242336000 is about 15567.1448891568. The cubic root of 242336000 is about 623.4562433776.

Adding to 242336000 its reverse (633242), we get a palindrome (242969242).

The spelling of 242336000 in words is "two hundred forty-two million, three hundred thirty-six thousand".