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830644308 = 223413199991
BaseRepresentation
bin110001100000101…
…010000001010100
32010220000002210000
4301200222001110
53200121104213
6214231331300
726404234344
oct6140520124
92126002700
10830644308
113969713aa
121b2220b30
13103122210
147c464d24
154cdcbc73
hex3182a054

830644308 has 120 divisors (see below), whose sum is σ = 2352627200. Its totient is φ = 254041920.

The previous prime is 830644279. The next prime is 830644313. The reversal of 830644308 is 803446038.

830644308 is a `hidden beast` number, since 8 + 3 + 0 + 644 + 3 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 837693 + ... + 838683.

Almost surely, 2830644308 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 830644308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176313600).

830644308 is an abundant number, since it is smaller than the sum of its proper divisors (1521982892).

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

830644308 is a wasteful number, since it uses less digits than its factorization.

830644308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 830644308 is about 28820.9005411004. The cubic root of 830644308 is about 940.0227503170.

The spelling of 830644308 in words is "eight hundred thirty million, six hundred forty-four thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 199 234 324 351 398 468 597 702 796 991 1053 1194 1404 1791 1982 2106 2388 2587 2973 3582 3964 4212 5174 5373 5946 7164 7761 8919 10348 10746 11892 12883 15522 16119 17838 21492 23283 25766 26757 31044 32238 35676 38649 46566 51532 53514 64476 69849 77298 80271 93132 107028 115947 139698 154596 160542 197209 209547 231894 279396 321084 347841 394418 419094 463788 591627 695682 788836 838188 1043523 1183254 1391364 1774881 2087046 2366508 2563717 3549762 4174092 5127434 5324643 7099524 7691151 10254868 10649286 15382302 15973929 21298572 23073453 30764604 31947858 46146906 63895716 69220359 92293812 138440718 207661077 276881436 415322154 830644308