243724104 has 192 divisors, whose sum is σ = 769532400. Its totient is φ = 69249024.

The previous prime is 243724027. The next prime is 243724111. The reversal of 243724104 is 401427342.

243724104 is a `hidden beast` number, since 243 + 7 + 2 + 410 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 114447204 + 129276900 = 10698^2 + 11370^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4598542 + ... + 4598594.

Almost surely, 2^243724104 is an apocalyptic number.

243724104 is a gapful number since it is divisible by the number (24) 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 243724104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384766200).

243724104 is an abundant number, since it is smaller than the sum of its proper divisors (525808296).

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

243724104 is a wasteful number, since it uses less digits than its factorization.

243724104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 243724104 is about 15611.6656382335. The cubic root of 243724104 is about 624.6443664247.

The spelling of 243724104 in words is "two hundred forty-three million, seven hundred twenty-four thousand, one hundred four".