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2382943944 = 2334183163179
BaseRepresentation
bin1000111000001000…
…1101011011001000
320011001221002120010
42032002031123020
514340013201234
61032242431520
7113023455303
oct21602153310
96131832503
102382943944
111013123067
125660625a0
132bc8c6504
1418869db3a
15de3076e9
hex8e08d6c8

2382943944 has 128 divisors (see below), whose sum is σ = 6248793600. Its totient is φ = 756656640.

The previous prime is 2382943933. The next prime is 2382943951. The reversal of 2382943944 is 4493492832.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2382943893 and 2382943902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13312447 + ... + 13312625.

It is an arithmetic number, because the mean of its divisors is an integer number (48818700).

Almost surely, 22382943944 is an apocalyptic number.

2382943944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2382943944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124396800).

2382943944 is an abundant number, since it is smaller than the sum of its proper divisors (3865849656).

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

2382943944 is a wasteful number, since it uses less digits than its factorization.

2382943944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 471 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The square root of 2382943944 is about 48815.4068302211. The cubic root of 2382943944 is about 1335.6867221159.

The spelling of 2382943944 in words is "two billion, three hundred eighty-two million, nine hundred forty-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 83 123 163 164 166 179 246 249 326 328 332 358 489 492 498 537 652 664 716 978 984 996 1074 1304 1432 1956 1992 2148 3403 3912 4296 6683 6806 7339 10209 13366 13529 13612 14678 14857 20049 20418 22017 26732 27058 27224 29177 29356 29714 40098 40587 40836 44034 44571 53464 54116 58354 58712 59428 80196 81174 81672 87531 88068 89142 108232 116708 118856 160392 162348 175062 176136 178284 233416 324696 350124 356568 554689 609137 700248 1109378 1196257 1218274 1664067 1827411 2218756 2392514 2421691 2436548 3328134 3588771 3654822 4437512 4785028 4843382 4873096 6656268 7177542 7265073 7309644 9570056 9686764 13312536 14355084 14530146 14619288 19373528 28710168 29060292 58120584 99289331 198578662 297867993 397157324 595735986 794314648 1191471972 2382943944