Search a number
-
+
830274876 = 2232228110111
BaseRepresentation
bin110001011111001…
…111110100111100
32010212022100000100
4301133033310330
53200022244001
6214215401100
726401135314
oct6137176474
92125270010
10830274876
11396739892
121b2083190
13103023012
147c3aa444
154cd57586
hex317cfd3c

830274876 has 36 divisors (see below), whose sum is σ = 2099878144. Its totient is φ = 276609600.

The previous prime is 830274871. The next prime is 830274877. The reversal of 830274876 is 678472038.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830274871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77061 + ... + 87171.

Almost surely, 2830274876 is an apocalyptic number.

It is an amenable number.

830274876 is an abundant number, since it is smaller than the sum of its proper divisors (1269603268).

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

830274876 is a wasteful number, since it uses less digits than its factorization.

830274876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12402 (or 12397 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 830274876 is about 28814.4907294923. The cubic root of 830274876 is about 939.8833701684.

The spelling of 830274876 in words is "eight hundred thirty million, two hundred seventy-four thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 2281 4562 6843 9124 10111 13686 20222 20529 27372 30333 40444 41058 60666 82116 90999 121332 181998 363996 23063191 46126382 69189573 92252764 138379146 207568719 276758292 415137438 830274876