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242724944 = 24711271727
BaseRepresentation
bin11100111011110…
…11000001010000
3121220201201000202
432131323001100
5444114144234
640030234332
76005061620
oct1635730120
9556651022
10242724944
11115014930
12693559a8
133b396237
1424344880
151649877e
hexe77b050

242724944 has 80 divisors (see below), whose sum is σ = 589295616. Its totient is φ = 94089600.

The previous prime is 242724941. The next prime is 242724949. The reversal of 242724944 is 449427242.

242724944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (129024) is a multiple of the sum of its prime factors (1024).

It is a junction number, because it is equal to n+sod(n) for n = 242724898 and 242724907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242724941) 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, 333509 + ... + 334235.

Almost surely, 2242724944 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 242724944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294647808).

242724944 is an abundant number, since it is smaller than the sum of its proper divisors (346570672).

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

242724944 is a wasteful number, since it uses less digits than its factorization.

242724944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1018 counting only the distinct ones).

The product of its digits is 129024, while the sum is 38.

The square root of 242724944 is about 15579.6323448277. The cubic root of 242724944 is about 623.7896096549.

The spelling of 242724944 in words is "two hundred forty-two million, seven hundred twenty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 271 308 542 616 727 1084 1232 1454 1897 2168 2908 2981 3794 4336 5089 5816 5962 7588 7997 10178 11632 11924 15176 15994 20356 20867 23848 30352 31988 40712 41734 47696 55979 63976 81424 83468 111958 127952 166936 197017 223916 333872 394034 447832 788068 895664 1379119 1576136 2167187 2758238 3152272 4334374 5516476 8668748 11032952 15170309 17337496 22065904 30340618 34674992 60681236 121362472 242724944