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830401866 = 232722729033
BaseRepresentation
bin110001011111101…
…110110101001010
32010212112210012200
4301133232311022
53200040324431
6214222221030
726402204460
oct6137566512
92125483180
10830401866
11396816238
121b2124776
13103068a68
147c400830
154cd7eee6
hex317eed4a

830401866 has 48 divisors (see below), whose sum is σ = 2065362624. Its totient is φ = 236204352.

The previous prime is 830401849. The next prime is 830401889. The reversal of 830401866 is 668104038.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 830401866.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14086 + ... + 43118.

It is an arithmetic number, because the mean of its divisors is an integer number (43028388).

Almost surely, 2830401866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830401866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032681312).

830401866 is an abundant number, since it is smaller than the sum of its proper divisors (1234960758).

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

830401866 is a wasteful number, since it uses less digits than its factorization.

830401866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29275 (or 29272 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 830401866 is about 28816.6942240084. The cubic root of 830401866 is about 939.9312859082.

The spelling of 830401866 in words is "eight hundred thirty million, four hundred one thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 227 454 681 1362 1589 2043 3178 4086 4767 9534 14301 28602 29033 58066 87099 174198 203231 261297 406462 522594 609693 1219386 1829079 3658158 6590491 13180982 19771473 39542946 46133437 59314419 92266874 118628838 138400311 276800622 415200933 830401866