242302736 has 80 divisors (see below), whose sum is σ = 521477040. Its totient is φ = 109025280.

The previous prime is 242302733. The next prime is 242302759. The reversal of 242302736 is 637203242.

242302736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 241989136 + 313600 = 15556^2 + 560^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242302699 and 242302708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242302733) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2144216 + ... + 2144328.

It is an arithmetic number, because the mean of its divisors is an integer number (6518463).

Almost surely, 2^242302736 is an apocalyptic number.

242302736 is a gapful number since it is divisible by the number (26) 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 242302736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260738520).

242302736 is an abundant number, since it is smaller than the sum of its proper divisors (279174304).

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

242302736 is a wasteful number, since it uses less digits than its factorization.

242302736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 242302736 is about 15566.0764484824. The cubic root of 242302736 is about 623.4277160471.

Adding to 242302736 its reverse (637203242), we get a palindrome (879505978).

The spelling of 242302736 in words is "two hundred forty-two million, three hundred two thousand, seven hundred thirty-six".