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241604272 = 247131743227
BaseRepresentation
bin11100110011010…
…01011010110000
3121211121202202101
432121221122300
5443322314042
635550230144
75662413430
oct1631513260
9554552671
10241604272
11114419958
1268ab5354
133b093110
14241322c0
15163266b7
hexe6696b0

241604272 has 160 divisors (see below), whose sum is σ = 626959872. Its totient is φ = 87478272.

The previous prime is 241604269. The next prime is 241604273. The reversal of 241604272 is 272406142.

It is a happy number.

241604272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 241604272.

It is not an unprimeable number, because it can be changed into a prime (241604273) 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, 1064223 + ... + 1064449.

Almost surely, 2241604272 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 241604272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313479936).

241604272 is an abundant number, since it is smaller than the sum of its proper divisors (385355600).

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

241604272 is a wasteful number, since it uses less digits than its factorization.

241604272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 241604272 is about 15543.6248024713. The cubic root of 241604272 is about 622.8281067903.

The spelling of 241604272 in words is "two hundred forty-one million, six hundred four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 43 52 56 68 86 91 104 112 119 136 172 182 208 221 227 238 272 301 344 364 442 454 476 559 602 688 728 731 884 908 952 1118 1204 1456 1462 1547 1589 1768 1816 1904 2236 2408 2924 2951 3094 3178 3536 3632 3859 3913 4472 4816 5117 5848 5902 6188 6356 7718 7826 8944 9503 9761 10234 11696 11804 12376 12712 15436 15652 19006 19522 20468 20657 23608 24752 25424 27013 30872 31304 38012 39044 40936 41314 47216 50167 54026 61744 62608 66521 68327 76024 78088 81872 82628 100334 108052 126893 133042 136654 152048 156176 165256 165937 200668 216104 253786 266084 273308 330512 331874 351169 401336 432208 507572 532168 546616 663748 702338 802672 888251 1015144 1064336 1093232 1161559 1327496 1404676 1776502 2030288 2157181 2323118 2654992 2809352 3553004 4314362 4646236 5618704 7106008 8628724 9292472 14212016 15100267 17257448 18584944 30200534 34514896 60401068 120802136 241604272