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840606656 = 2643476797
BaseRepresentation
bin110010000110101…
…010001111000000
32011120202020112212
4302012222033000
53210143403111
6215225041252
726555016161
oct6206521700
92146666485
10840606656
113a155624a
121b5626228
131051cc8b6
147d8d9768
154dbe898b
hex321aa3c0

840606656 has 112 divisors (see below), whose sum is σ = 1787444736. Its totient is φ = 391716864.

The previous prime is 840606643. The next prime is 840606677. The reversal of 840606656 is 656606048.

It is a super-2 number, since 2×8406066562 = 1413239100223004672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8666000 + ... + 8666096.

It is an arithmetic number, because the mean of its divisors is an integer number (15959328).

Almost surely, 2840606656 is an apocalyptic number.

840606656 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893722368).

840606656 is an abundant number, since it is smaller than the sum of its proper divisors (946838080).

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

840606656 is a wasteful number, since it uses less digits than its factorization.

840606656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 840606656 is about 28993.2174137332. The cubic root of 840606656 is about 943.7658856382.

The spelling of 840606656 in words is "eight hundred forty million, six hundred six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 43 47 64 67 86 94 97 134 172 188 194 268 344 376 388 536 688 752 776 1072 1376 1504 1552 2021 2144 2752 2881 3008 3104 3149 4042 4171 4288 4559 5762 6208 6298 6499 8084 8342 9118 11524 12596 12998 16168 16684 18236 23048 25192 25996 32336 33368 36472 46096 50384 51992 64672 66736 72944 92192 100768 103984 129344 133472 135407 145888 184384 196037 201536 207968 266944 270814 279457 291776 305453 392074 415936 541628 558914 610906 784148 1083256 1117828 1221812 1568296 2166512 2235656 2443624 3136592 4333024 4471312 4887248 6273184 8666048 8942624 9774496 12546368 13134479 17885248 19548992 26268958 52537916 105075832 210151664 420303328 840606656