242304100 has 18 divisors (see below), whose sum is σ = 525800114. Its totient is φ = 96921600.

The previous prime is 242304071. The next prime is 242304107. The reversal of 242304100 is 1403242.

It can be written as a sum of positive squares in 3 ways, for example, as 3663396 + 238640704 = 1914^2 + 15448^2 .

It is a super-2 number, since 2×242304100² = 117422553753620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242304107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1211421 + ... + 1211620.

Almost surely, 2^242304100 is an apocalyptic number.

242304100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242304100 is an abundant number, since it is smaller than the sum of its proper divisors (283496014).

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

242304100 is a wasteful number, since it uses less digits than its factorization.

242304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423055 (or 2423048 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 242304100 is about 15566.1202616452. The cubic root of 242304100 is about 623.4288858700.

Adding to 242304100 its reverse (1403242), we get a palindrome (243707342).

The spelling of 242304100 in words is "two hundred forty-two million, three hundred four thousand, one hundred".