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242024124 = 223234320393
BaseRepresentation
bin11100110110011…
…11111010111100
3121212102002200110
432123033322330
5443424232444
640003230020
75666112456
oct1633177274
9555362613
10242024124
11114686341
1269078310
133b1ac254
14242012d6
15163aacb9
hexe6cfebc

242024124 has 48 divisors (see below), whose sum is σ = 603009792. Its totient is φ = 75368832.

The previous prime is 242024113. The next prime is 242024131. The reversal of 242024124 is 421420242.

242024124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 242024124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1672 + ... + 22064.

It is an arithmetic number, because the mean of its divisors is an integer number (12562704).

Almost surely, 2242024124 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 242024124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301504896).

242024124 is an abundant number, since it is smaller than the sum of its proper divisors (360985668).

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

242024124 is a wasteful number, since it uses less digits than its factorization.

242024124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20466 (or 20464 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 242024124 is about 15557.1245415083. The cubic root of 242024124 is about 623.1886747793.

Adding to 242024124 its reverse (421420242), we get a palindrome (663444366).

The spelling of 242024124 in words is "two hundred forty-two million, twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 43 46 69 86 92 129 138 172 258 276 516 989 1978 2967 3956 5934 11868 20393 40786 61179 81572 122358 244716 469039 876899 938078 1407117 1753798 1876156 2630697 2814234 3507596 5261394 5628468 10522788 20168677 40337354 60506031 80674708 121012062 242024124