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830082276 = 223314515297
BaseRepresentation
bin110001011110100…
…000110011100100
32010211221112211000
4301132200303210
53200000113101
6214211313300
726366403642
oct6136406344
92124845730
10830082276
11396618111
121b1bab830
13102c8645a
147c35a192
154cd1a486
hex317a0ce4

830082276 has 48 divisors (see below), whose sum is σ = 2153954880. Its totient is φ = 276451200.

The previous prime is 830082251. The next prime is 830082329. The reversal of 830082276 is 672280038.

It is a happy number.

830082276 is a `hidden beast` number, since 8 + 300 + 82 + 276 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 830082276.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154060 + ... + 159356.

It is an arithmetic number, because the mean of its divisors is an integer number (44874060).

Almost surely, 2830082276 is an apocalyptic number.

It is an amenable number.

830082276 is an abundant number, since it is smaller than the sum of its proper divisors (1323872604).

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

830082276 is a wasteful number, since it uses less digits than its factorization.

830082276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6761 (or 6753 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 830082276 is about 28811.1484672166. The cubic root of 830082276 is about 939.8106892040.

The spelling of 830082276 in words is "eight hundred thirty million, eighty-two thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1451 2902 4353 5297 5804 8706 10594 13059 15891 17412 21188 26118 31782 39177 47673 52236 63564 78354 95346 143019 156708 190692 286038 572076 7685947 15371894 23057841 30743788 46115682 69173523 92231364 138347046 207520569 276694092 415041138 830082276