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3133746 = 23272111719
BaseRepresentation
bin1011111101000100110010
312220012200200
423331010302
51300234441
6151100030
735431200
oct13750462
95805620
103133746
111850480
121071616
138594b5
145b8070
1541d7b6
hex2fd132

3133746 has 144 divisors (see below), whose sum is σ = 9603360. Its totient is φ = 725760.

The previous prime is 3133733. The next prime is 3133751. The reversal of 3133746 is 6473313.

It is a happy number.

3133746 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

3133746 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 164925 + ... + 164943.

It is an arithmetic number, because the mean of its divisors is an integer number (66690).

Almost surely, 23133746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801680).

3133746 is an abundant number, since it is smaller than the sum of its proper divisors (6469614).

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

3133746 is a wasteful number, since it uses less digits than its factorization.

3133746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 59 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 3133746 is about 1770.2389669194. The cubic root of 3133746 is about 146.3371516494.

The spelling of 3133746 in words is "three million, one hundred thirty-three thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 9 11 14 17 18 19 21 22 33 34 38 42 49 51 57 63 66 77 98 99 102 114 119 126 133 147 153 154 171 187 198 209 231 238 266 294 306 323 342 357 374 399 418 441 462 539 561 627 646 693 714 798 833 882 931 969 1071 1078 1122 1197 1254 1309 1386 1463 1617 1666 1683 1862 1881 1938 2142 2261 2394 2499 2618 2793 2907 2926 3234 3366 3553 3762 3927 4389 4522 4851 4998 5586 5814 6783 7106 7497 7854 8379 8778 9163 9702 10241 10659 11781 13167 13566 14994 15827 16758 18326 20349 20482 21318 23562 24871 26334 27489 30723 31654 31977 40698 47481 49742 54978 61446 63954 74613 82467 92169 94962 142443 149226 164934 174097 184338 223839 284886 348194 447678 522291 1044582 1566873 3133746