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830617164 = 2232131774823
BaseRepresentation
bin110001100000100…
…011011001001100
32010212221201112200
4301200203121030
53200114222124
6214231001500
726404062246
oct6140433114
92125851480
10830617164
11396952a73
121b2209290
13103112a60
147c459096
154cdc3bc9
hex3182364c

830617164 has 36 divisors (see below), whose sum is σ = 2261125776. Its totient is φ = 255574368.

The previous prime is 830617097. The next prime is 830617187. The reversal of 830617164 is 461716038.

830617164 is a `hidden beast` number, since 8 + 30 + 617 + 1 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 886944 + ... + 887879.

Almost surely, 2830617164 is an apocalyptic number.

It is an amenable number.

830617164 is an abundant number, since it is smaller than the sum of its proper divisors (1430508612).

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

830617164 is a wasteful number, since it uses less digits than its factorization.

830617164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774846 (or 1774841 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 830617164 is about 28820.4296289976. The cubic root of 830617164 is about 940.0125107736.

The spelling of 830617164 in words is "eight hundred thirty million, six hundred seventeen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1774823 3549646 5324469 7099292 10648938 15973407 21297876 23072699 31946814 46145398 63893628 69218097 92290796 138436194 207654291 276872388 415308582 830617164