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2379306996 = 22321119463683
BaseRepresentation
bin1000110111010001…
…0101011111110100
320010211002022121100
42031310111133310
514333100310441
61032032450100
7112650530043
oct21564253764
96124068540
102379306996
111011069620
125649a9930
132bbc21c81
14187dd455a
15ddd39cb6
hex8dd157f4

2379306996 has 144 divisors (see below), whose sum is σ = 6931491840. Its totient is φ = 680581440.

The previous prime is 2379306989. The next prime is 2379307079. The reversal of 2379306996 is 6996039732.

It is a happy number.

It is a super-2 number, since 2×23793069962 = 11322203562429088032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3483271 + ... + 3483953.

It is an arithmetic number, because the mean of its divisors is an integer number (48135360).

Almost surely, 22379306996 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 2379306996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465745920).

2379306996 is an abundant number, since it is smaller than the sum of its proper divisors (4552184844).

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

2379306996 is a wasteful number, since it uses less digits than its factorization.

2379306996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 54.

The square root of 2379306996 is about 48778.1405549658. The cubic root of 2379306996 is about 1335.0068492684.

The spelling of 2379306996 in words is "two billion, three hundred seventy-nine million, three hundred six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 463 627 683 684 836 926 1254 1366 1389 1852 1881 2049 2508 2732 2778 3762 4098 4167 5093 5556 6147 7513 7524 8196 8334 8797 10186 12294 12977 15026 15279 16668 17594 20372 22539 24588 25954 26391 30052 30558 35188 38931 45078 45837 51908 52782 61116 67617 77862 79173 90156 91674 96767 105564 116793 135234 142747 155724 158346 183348 193534 233586 270468 285494 290301 316229 316692 387068 428241 467172 570988 580602 632458 856482 870903 948687 1161204 1264916 1284723 1712964 1741806 1897374 2569446 2846061 3478519 3483612 3794748 5138892 5692122 6008351 6957038 10435557 11384244 12016702 13914076 18025053 20871114 24033404 31306671 36050106 41742228 54075159 62613342 66091861 72100212 108150318 125226684 132183722 198275583 216300636 264367444 396551166 594826749 793102332 1189653498 2379306996