Base | Representation |
---|---|
bin | 110001110010111… |
… | …010011011100000 |
3 | 2011020000020200000 |
4 | 301302322123200 |
5 | 3202332230422 |
6 | 214522100000 |
7 | 26463016206 |
oct | 6162723340 |
9 | 2136006600 |
10 | 835430112 |
11 | 399640010 |
12 | 1b394a600 |
13 | 10410965a |
14 | 7cd4d076 |
15 | 4d524cac |
hex | 31cba6e0 |
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".
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