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830000017 = 71113278123
BaseRepresentation
bin110001011110001…
…100101110010001
32010211210100222101
4301132030232101
53144440000032
6214205440401
726365612060
oct6136145621
92124710871
10830000017
11396571330
121b1b70101
13102c57b92
147c3381d7
154cd00de7
hex3178cb91

830000017 has 16 divisors (see below), whose sum is σ = 1035712512. Its totient is φ = 646186320.

The previous prime is 829999987. The next prime is 830000063. The reversal of 830000017 is 710000038.

830000017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 830000017 - 215 = 829967249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 829999949 and 830000003.

It is not an unprimeable number, because it can be changed into a prime (830000117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98118 + ... + 106240.

It is an arithmetic number, because the mean of its divisors is an integer number (64732032).

Almost surely, 2830000017 is an apocalyptic number.

It is an amenable number.

830000017 is a deficient number, since it is larger than the sum of its proper divisors (205712495).

830000017 is a wasteful number, since it uses less digits than its factorization.

830000017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9468.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 830000017 is about 28809.7208768152. The cubic root of 830000017 is about 939.7796439115.

The spelling of 830000017 in words is "eight hundred thirty million, seventeen", and thus it is an aban number.

Divisors: 1 7 11 77 1327 8123 9289 14597 56861 89353 102179 625471 10779221 75454547 118571431 830000017