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830036417 = 71099291171
BaseRepresentation
bin110001011110010…
…101100111000001
32010211212012220112
4301132111213001
53144442131132
6214210321105
726366123150
oct6136254701
92124765815
10830036417
11396596711
121b1b89195
13102c6b612
147c347597
154cd0bab2
hex317959c1

830036417 has 16 divisors (see below), whose sum is σ = 959164800. Its totient is φ = 703572480.

The previous prime is 830036411. The next prime is 830036419. The reversal of 830036417 is 714630038.

830036417 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 830036417 - 212 = 830032321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (830036411) 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, 708242 + ... + 709412.

It is an arithmetic number, because the mean of its divisors is an integer number (59947800).

Almost surely, 2830036417 is an apocalyptic number.

It is an amenable number.

830036417 is a deficient number, since it is larger than the sum of its proper divisors (129128383).

830036417 is a wasteful number, since it uses less digits than its factorization.

830036417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216.

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 830036417 is about 28810.3526011050. The cubic root of 830036417 is about 939.7933818545.

The spelling of 830036417 in words is "eight hundred thirty million, thirty-six thousand, four hundred seventeen".

Divisors: 1 7 109 763 929 1171 6503 8197 101261 127639 708827 893473 1087859 7615013 118576631 830036417