Search a number
-
+
830036284 = 2272112311129
BaseRepresentation
bin110001011110010…
…101100100111100
32010211212012201121
4301132111210330
53144442130114
6214210320324
726366122600
oct6136254474
92124765647
10830036284
11396596600
121b1b890a4
13102c6b53c
147c347500
154cd0ba24
hex3179593c

830036284 has 108 divisors (see below), whose sum is σ = 1918902720. Its totient is φ = 312681600.

The previous prime is 830036257. The next prime is 830036293. The reversal of 830036284 is 482630038.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 734632 + ... + 735760.

Almost surely, 2830036284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830036284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959451360).

830036284 is an abundant number, since it is smaller than the sum of its proper divisors (1088866436).

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

830036284 is a wasteful number, since it uses less digits than its factorization.

830036284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 830036284 is about 28810.3502929069. The cubic root of 830036284 is about 939.7933316589.

The spelling of 830036284 in words is "eight hundred thirty million, thirty-six thousand, two hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 31 44 49 62 77 98 121 124 154 196 217 242 308 341 434 484 539 682 847 868 1078 1129 1364 1519 1694 2156 2258 2387 3038 3388 3751 4516 4774 5929 6076 7502 7903 9548 11858 12419 15004 15806 16709 23716 24838 26257 31612 33418 34999 49676 52514 55321 66836 69998 86933 105028 110642 136609 139996 173866 183799 221284 244993 273218 347732 367598 384989 489986 546436 608531 735196 769978 956263 979972 1217062 1539956 1714951 1912526 2434124 2694923 3429902 3825052 4234879 5389846 6693841 6859804 8469758 10779692 13387682 16939516 18864461 26775364 29644153 37728922 59288306 75457844 118576612 207509071 415018142 830036284