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3640354146 = 23211131797901
BaseRepresentation
bin1101100011111011…
…0110010101100010
3100101200222011002100
43120332312111202
524423412313041
61401121231230
7156132333252
oct33076662542
910350864070
103640354146
1115a8980a50
12857192516
1346026bc10
14267695962
151648d36b6
hexd8fb6562

3640354146 has 96 divisors (see below), whose sum is σ = 9319302720. Its totient is φ = 1012464000.

The previous prime is 3640354129. The next prime is 3640354171. The reversal of 3640354146 is 6414530463.

3640354146 is a `hidden beast` number, since 3 + 640 + 3 + 5 + 4 + 1 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3640354146.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456796 + ... + 464696.

It is an arithmetic number, because the mean of its divisors is an integer number (97076070).

Almost surely, 23640354146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640354146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4659651360).

3640354146 is an abundant number, since it is smaller than the sum of its proper divisors (5678948574).

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

3640354146 is a wasteful number, since it uses less digits than its factorization.

3640354146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8112 (or 8109 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3640354146 is about 60335.3474010053. The cubic root of 3640354146 is about 1538.3242222802.

The spelling of 3640354146 in words is "three billion, six hundred forty million, three hundred fifty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 179 198 234 286 358 429 537 858 1074 1287 1611 1969 2327 2574 3222 3938 4654 5907 6981 7901 11814 13962 15802 17721 20943 23703 25597 35442 41886 47406 51194 71109 76791 86911 102713 142218 153582 173822 205426 230373 260733 308139 460746 521466 616278 782199 924417 1129843 1414279 1564398 1848834 2259686 2828558 3389529 4242837 6779058 8485674 10168587 12728511 15557069 18385627 20337174 25457022 31114138 36771254 46671207 55156881 93342414 110313762 140013621 165470643 202241897 280027242 330941286 404483794 606725691 1213451382 1820177073 3640354146