242862336 has 108 divisors (see below), whose sum is σ = 730836288. Its totient is φ = 77417472.

The previous prime is 242862331. The next prime is 242862343. The reversal of 242862336 is 633268242.

242862336 is a `hidden beast` number, since 2 + 4 + 28 + 623 + 3 + 6 = 666.

It is a super-2 number, since 2×242862336² = 117964228494753792, which contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 242862336.

It is not an unprimeable number, because it can be changed into a prime (242862331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50701 + ... + 55283.

Almost surely, 2^242862336 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 242862336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365418144).

242862336 is an abundant number, since it is smaller than the sum of its proper divisors (487973952).

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

242862336 is a wasteful number, since it uses less digits than its factorization.

242862336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4628 (or 4611 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 242862336 is about 15584.0410677077. The cubic root of 242862336 is about 623.9072840550.

The spelling of 242862336 in words is "two hundred forty-two million, eight hundred sixty-two thousand, three hundred thirty-six".