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81661734 = 232721119443
BaseRepresentation
bin1001101111000…
…00111100100110
312200122211211200
410313200330212
5131401133414
612034143330
72011053600
oct467407446
9180584750
1081661734
1142106740
1223421b46
1313bc286b
14abba170
157281109
hex4de0f26

81661734 has 144 divisors (see below), whose sum is σ = 236882880. Its totient is φ = 20049120.

The previous prime is 81661733. The next prime is 81661739. The reversal of 81661734 is 43716618.

81661734 is a `hidden beast` number, since 8 + 1 + 6 + 617 + 34 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81661733) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 184117 + ... + 184559.

It is an arithmetic number, because the mean of its divisors is an integer number (1645020).

Almost surely, 281661734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81661734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118441440).

81661734 is an abundant number, since it is smaller than the sum of its proper divisors (155221146).

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

81661734 is a wasteful number, since it uses less digits than its factorization.

81661734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 485 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 81661734 is about 9036.6882208030. The cubic root of 81661734 is about 433.8499307718.

Subtracting from 81661734 its reverse (43716618), we obtain a triangular number (37945116 = T8711).

The spelling of 81661734 in words is "eighty-one million, six hundred sixty-one thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 49 57 63 66 77 98 99 114 126 133 147 154 171 198 209 231 266 294 342 399 418 441 443 462 539 627 693 798 882 886 931 1078 1197 1254 1329 1386 1463 1617 1862 1881 2394 2658 2793 2926 3101 3234 3762 3987 4389 4851 4873 5586 6202 7974 8379 8417 8778 9303 9702 9746 10241 13167 14619 16758 16834 18606 20482 21707 25251 26334 27909 29238 30723 34111 43414 43857 50502 55818 58919 61446 65121 68222 75753 87714 92169 92587 102333 117838 130242 151506 176757 184338 185174 195363 204666 238777 277761 306999 353514 390726 412433 477554 530271 555522 613998 648109 716331 824866 833283 1060542 1237299 1296218 1432662 1666566 1944327 2148993 2474598 3711897 3888654 4297986 4536763 5832981 7423794 9073526 11665962 13610289 27220578 40830867 81661734