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835430112 = 2535119767
BaseRepresentation
bin110001110010111…
…010011011100000
32011020000020200000
4301302322123200
53202332230422
6214522100000
726463016206
oct6162723340
92136006600
10835430112
11399640010
121b394a600
1310410965a
147cd4d076
154d524cac
hex31cba6e0

835430112 has 144 divisors (see below), whose sum is σ = 2687997312. Its totient is φ = 253134720.

The previous prime is 835430111. The next prime is 835430161. The reversal of 835430112 is 211034538.

It is a happy number.

835430112 is a `hidden beast` number, since 8 + 3 + 543 + 0 + 112 = 666.

835430112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (835430111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80653 + ... + 90419.

It is an arithmetic number, because the mean of its divisors is an integer number (18666648).

Almost surely, 2835430112 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 835430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343998656).

835430112 is an abundant number, since it is smaller than the sum of its proper divisors (1852567200).

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

835430112 is a wasteful number, since it uses less digits than its factorization.

835430112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9803 (or 9783 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 835430112 is about 28903.8079152211. The cubic root of 835430112 is about 941.8246255533.

The spelling of 835430112 in words is "eight hundred thirty-five million, four hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 243 264 288 297 324 352 396 432 486 528 594 648 792 864 891 972 1056 1188 1296 1584 1782 1944 2376 2592 2673 3168 3564 3888 4752 5346 7128 7776 9504 9767 10692 14256 19534 21384 28512 29301 39068 42768 58602 78136 85536 87903 107437 117204 156272 175806 214874 234408 263709 312544 322311 351612 429748 468816 527418 644622 703224 791127 859496 937632 966933 1054836 1289244 1406448 1582254 1718992 1933866 2109672 2373381 2578488 2812896 2900799 3164508 3437984 3867732 4219344 4746762 5156976 5801598 6329016 7735464 8438688 8702397 9493524 10313952 11603196 12658032 15470928 17404794 18987048 23206392 25316064 26107191 30941856 34809588 37974096 46412784 52214382 69619176 75948192 92825568 104428764 139238352 208857528 278476704 417715056 835430112