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830358512 = 2423109127163
BaseRepresentation
bin110001011111100…
…100001111110000
32010212110120201222
4301133210033300
53200032433022
6214221244212
726401634204
oct6137441760
92125416658
10830358512
11396796705
121b2103668
131030520c9
147c3ccb04
154cd72242
hex317e43f0

830358512 has 80 divisors (see below), whose sum is σ = 1717985280. Its totient is φ = 387991296.

The previous prime is 830358497. The next prime is 830358521. The reversal of 830358512 is 215853038.

It is a congruent number.

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, 5094143 + ... + 5094305.

It is an arithmetic number, because the mean of its divisors is an integer number (21474816).

Almost surely, 2830358512 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 830358512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858992640).

830358512 is an abundant number, since it is smaller than the sum of its proper divisors (887626768).

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

830358512 is a wasteful number, since it uses less digits than its factorization.

830358512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 830358512 is about 28815.9419766212. The cubic root of 830358512 is about 939.9149281695.

The spelling of 830358512 in words is "eight hundred thirty million, three hundred fifty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 16 23 46 92 109 127 163 184 218 254 326 368 436 508 652 872 1016 1304 1744 2032 2507 2608 2921 3749 5014 5842 7498 10028 11684 13843 14996 17767 20056 20701 23368 27686 29992 35534 40112 41402 46736 55372 59984 71068 82804 110744 142136 165608 221488 284272 318389 331216 408641 476123 636778 817282 952246 1273556 1634564 1904492 2256409 2547112 3269128 3808984 4512818 5094224 6538256 7617968 9025636 18051272 36102544 51897407 103794814 207589628 415179256 830358512