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830000009 = 1922299169
BaseRepresentation
bin110001011110001…
…100101110001001
32010211210100222002
4301132030232021
53144440000014
6214205440345
726365612046
oct6136145611
92124710862
10830000009
11396571323
121b1b700b5
13102c57b87
147c3381cd
154cd00dde
hex3178cb89

830000009 has 6 divisors (see below), whose sum is σ = 875983770. Its totient is φ = 786315456.

The previous prime is 829999987. The next prime is 830000063. The reversal of 830000009 is 900000038.

830000009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 826390009 + 3610000 = 28747^2 + 1900^2 .

It is a de Polignac number, because none of the positive numbers 2k-830000009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (830000069) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1149224 + ... + 1149945.

It is an arithmetic number, because the mean of its divisors is an integer number (145997295).

Almost surely, 2830000009 is an apocalyptic number.

It is an amenable number.

830000009 is a deficient number, since it is larger than the sum of its proper divisors (45983761).

830000009 is a wasteful number, since it uses less digits than its factorization.

830000009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299207 (or 2299188 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 830000009 is about 28809.7207379731. The cubic root of 830000009 is about 939.7796408921.

The spelling of 830000009 in words is "eight hundred thirty million, nine", and thus it is an aban number.

Divisors: 1 19 361 2299169 43684211 830000009