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2384079872 = 21019181677
BaseRepresentation
bin1000111000011010…
…0010110000000000
320011011001210202112
42032012202300000
514340311023442
61032323034452
7113036226116
oct21606426000
96134053675
102384079872
111013829549
1256650ba28
132bcc03565
141888b7ab6
15de47e082
hex8e1a2c00

2384079872 has 88 divisors (see below), whose sum is σ = 5051832240. Its totient is φ = 1121402880.

The previous prime is 2384079857. The next prime is 2384079923. The reversal of 2384079872 is 2789704832.

It is a self number, because there is not a number n which added to its sum of digits gives 2384079872.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3521198 + ... + 3521874.

Almost surely, 22384079872 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 2384079872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525916120).

2384079872 is an abundant number, since it is smaller than the sum of its proper divisors (2667752368).

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

2384079872 is a wasteful number, since it uses less digits than its factorization.

2384079872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 50.

The square root of 2384079872 is about 48827.0403772336. The cubic root of 2384079872 is about 1335.8989250269.

The spelling of 2384079872 in words is "two billion, three hundred eighty-four million, seventy-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 181 256 304 362 512 608 677 724 1024 1216 1354 1448 2432 2708 2896 3439 4864 5416 5792 6878 9728 10832 11584 12863 13756 19456 21664 23168 25726 27512 43328 46336 51452 55024 86656 92672 102904 110048 122537 173312 185344 205808 220096 245074 346624 411616 440192 490148 693248 823232 880384 980296 1646464 1760768 1960592 2328203 3292928 3521536 3921184 4656406 6585856 7842368 9312812 13171712 15684736 18625624 31369472 37251248 62738944 74502496 125477888 149004992 298009984 596019968 1192039936 2384079872