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43104996 = 2232111719337
BaseRepresentation
bin1010010001101…
…1101011100100
310000002221221100
42210123223210
542013324441
64135520100
71032246354
oct244335344
9100087840
1043104996
1122371470
1212529030
138c12c1c
145a20b64
153bb6cb6
hex291bae4

43104996 has 144 divisors (see below), whose sum is σ = 132874560. Its totient is φ = 11612160.

The previous prime is 43104961. The next prime is 43105001. The reversal of 43104996 is 69940134.

43104996 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 43104996.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127740 + ... + 128076.

It is an arithmetic number, because the mean of its divisors is an integer number (922740).

Almost surely, 243104996 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 43104996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66437280).

43104996 is an abundant number, since it is smaller than the sum of its proper divisors (89769564).

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

43104996 is a wasteful number, since it uses less digits than its factorization.

43104996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 43104996 is about 6565.4395130867. The cubic root of 43104996 is about 350.6247237074.

It can be divided in two parts, 43104 and 996, that added together give a square (44100 = 2102).

The spelling of 43104996 in words is "forty-three million, one hundred four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 19 22 33 34 36 38 44 51 57 66 68 76 99 102 114 132 153 171 187 198 204 209 228 306 323 337 342 374 396 418 561 612 627 646 674 684 748 836 969 1011 1122 1254 1292 1348 1683 1881 1938 2022 2244 2508 2907 3033 3366 3553 3707 3762 3876 4044 5729 5814 6066 6403 6732 7106 7414 7524 10659 11121 11458 11628 12132 12806 14212 14828 17187 19209 21318 22242 22916 25612 31977 33363 34374 38418 42636 44484 51561 57627 63019 63954 66726 68748 70433 76836 103122 108851 115254 126038 127908 133452 140866 189057 206244 211299 217702 230508 252076 281732 326553 378114 422598 435404 567171 633897 653106 756228 845196 979659 1134342 1197361 1267794 1306212 1959318 2268684 2394722 2535588 3592083 3918636 4789444 7184166 10776249 14368332 21552498 43104996