Search a number
-
+
242568744 = 2331119371307
BaseRepresentation
bin11100111010101…
…00111000101000
3121220102202202120
432131110320220
5444044144434
640023031240
76003541335
oct1635247050
9556382676
10242568744
11114a18540
126929b520
133b340102
142430398c
1516467349
hexe754e28

242568744 has 128 divisors (see below), whose sum is σ = 715737600. Its totient is φ = 67703040.

The previous prime is 242568727. The next prime is 242568749. The reversal of 242568744 is 447865242.

It is a happy number.

242568744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 242568696 and 242568705.

It is not an unprimeable number, because it can be changed into a prime (242568749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184939 + ... + 186245.

It is an arithmetic number, because the mean of its divisors is an integer number (5591700).

Almost surely, 2242568744 is an apocalyptic number.

242568744 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 242568744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357868800).

242568744 is an abundant number, since it is smaller than the sum of its proper divisors (473168856).

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

242568744 is a wasteful number, since it uses less digits than its factorization.

242568744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1379 counting only the distinct ones).

The product of its digits is 430080, while the sum is 42.

The square root of 242568744 is about 15574.6185828097. The cubic root of 242568744 is about 623.6557725033.

The spelling of 242568744 in words is "two hundred forty-two million, five hundred sixty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 37 38 44 57 66 74 76 88 111 114 132 148 152 209 222 228 264 296 407 418 444 456 627 703 814 836 888 1221 1254 1307 1406 1628 1672 2109 2442 2508 2614 2812 3256 3921 4218 4884 5016 5228 5624 7733 7842 8436 9768 10456 14377 15466 15684 16872 23199 24833 28754 30932 31368 43131 46398 48359 49666 57508 61864 74499 86262 92796 96718 99332 115016 145077 148998 172524 185592 193436 198664 273163 290154 297996 345048 386872 531949 546326 580308 595992 819489 918821 1063898 1092652 1160616 1595847 1638978 1837642 2127796 2185304 2756463 3191694 3277956 3675284 4255592 5512926 6383388 6555912 7350568 10107031 11025852 12766776 20214062 22051704 30321093 40428124 60642186 80856248 121284372 242568744