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930864168 = 2332132113677
BaseRepresentation
bin110111011110111…
…101110000101000
32101212120210120200
4313132331300220
53401300123133
6232211352200
732032133463
oct6736756050
92355523520
10930864168
114384a3033
1221b8b2660
1311ab11b00
148b8b22da
1556ac6913
hex377bdc28

930864168 has 144 divisors (see below), whose sum is σ = 2758165020. Its totient is φ = 283465728.

The previous prime is 930864139. The next prime is 930864197. The reversal of 930864168 is 861468039.

It is an interprime number because it is at equal distance from previous prime (930864139) and next prime (930864197).

It can be written as a sum of positive squares in 6 ways, for example, as 156800484 + 774063684 = 12522^2 + 27822^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 1374646 + ... + 1375322.

Almost surely, 2930864168 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 930864168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379082510).

930864168 is an abundant number, since it is smaller than the sum of its proper divisors (1827300852).

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

930864168 is a wasteful number, since it uses less digits than its factorization.

930864168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 930864168 is about 30510.0666665938. The cubic root of 930864168 is about 976.4022489796.

The spelling of 930864168 in words is "nine hundred thirty million, eight hundred sixty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 113 117 156 169 226 234 312 338 339 452 468 507 676 677 678 904 936 1014 1017 1352 1354 1356 1469 1521 2028 2031 2034 2708 2712 2938 3042 4056 4062 4068 4407 5416 5876 6084 6093 8124 8136 8801 8814 11752 12168 12186 13221 16248 17602 17628 19097 24372 26403 26442 35204 35256 38194 48744 52806 52884 57291 70408 76388 76501 79209 105612 105768 114413 114582 152776 153002 158418 171873 211224 228826 229164 229503 306004 316836 343239 343746 457652 458328 459006 612008 633672 686478 687492 688509 915304 918012 994513 1029717 1372956 1374984 1377018 1836024 1989026 2059434 2745912 2754036 2983539 3978052 4118868 5508072 5967078 7956104 8237736 8950617 11934156 12928669 17901234 23868312 25857338 35802468 38786007 51714676 71604936 77572014 103429352 116358021 155144028 232716042 310288056 465432084 930864168