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840954114 = 2327112134243
BaseRepresentation
bin110010000111111…
…111000100000010
32011121101220011200
4302013333010002
53210241012424
6215240322030
726560664160
oct6207770402
92147356150
10840954114
113a1773300
121b5773316
131052c1ab0
147d98a230
154dc668c9
hex321ff102

840954114 has 144 divisors (see below), whose sum is σ = 2465526336. Its totient is φ = 201579840.

The previous prime is 840954097. The next prime is 840954161. The reversal of 840954114 is 411459048.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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, 196077 + ... + 200319.

Almost surely, 2840954114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840954114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232763168).

840954114 is an abundant number, since it is smaller than the sum of its proper divisors (1624572222).

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

840954114 is a wasteful number, since it uses less digits than its factorization.

840954114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4293 (or 4279 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 840954114 is about 28999.2088512773. The cubic root of 840954114 is about 943.8959004056.

It can be divided in two parts, 84095 and 4114, that added together give a square (88209 = 2972).

The spelling of 840954114 in words is "eight hundred forty million, nine hundred fifty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 121 126 143 154 182 198 231 234 242 273 286 363 429 462 546 693 726 819 847 858 1001 1089 1287 1386 1573 1638 1694 2002 2178 2541 2574 3003 3146 4243 4719 5082 6006 7623 8486 9009 9438 11011 12729 14157 15246 18018 22022 25458 28314 29701 33033 38187 46673 55159 59402 66066 76374 89103 93346 99099 110318 140019 165477 178206 198198 267309 280038 326711 330954 386113 420057 496431 513403 534618 606749 653422 772226 840114 980133 992862 1026806 1158339 1213498 1540209 1820247 1960266 2316678 2940399 3080418 3475017 3593821 3640494 4247243 4620627 5460741 5880798 6674239 6950034 7187642 8494486 9241254 10781463 10921482 12741729 13348478 20022717 21562926 25483458 32344389 38225187 40045434 46719673 60068151 64688778 76450374 93439346 120136302 140159019 280318038 420477057 840954114