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2381003640 = 233353496317
BaseRepresentation
bin1000110111101011…
…0011101101111000
320010221021111222000
42031322303231320
514334014104030
61032133101000
7113001124401
oct21572635570
96127244860
102381003640
111012018304
12565487760
132bc3972c2
141883169a8
15de072860
hex8deb3b78

2381003640 has 128 divisors (see below), whose sum is σ = 7960680000. Its totient is φ = 633014784.

The previous prime is 2381003627. The next prime is 2381003657. The reversal of 2381003640 is 463001832.

It is a happy number.

2381003640 is a `hidden beast` number, since 2 + 3 + 8 + 10 + 0 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373762 + ... + 380078.

Almost surely, 22381003640 is an apocalyptic number.

2381003640 is a gapful number since it is divisible by the number (20) 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 2381003640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3980340000).

2381003640 is an abundant number, since it is smaller than the sum of its proper divisors (5579676360).

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

2381003640 is a wasteful number, since it uses less digits than its factorization.

2381003640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6686 (or 6676 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2381003640 is about 48795.5288935370. The cubic root of 2381003640 is about 1335.3240975529.

The spelling of 2381003640 in words is "two billion, three hundred eighty-one million, three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 349 360 540 698 1047 1080 1396 1745 2094 2792 3141 3490 4188 5235 6282 6317 6980 8376 9423 10470 12564 12634 13960 15705 18846 18951 20940 25128 25268 31410 31585 37692 37902 41880 47115 50536 56853 62820 63170 75384 75804 94230 94755 113706 125640 126340 151608 170559 188460 189510 227412 252680 284265 341118 376920 379020 454824 568530 682236 758040 852795 1137060 1364472 1705590 2204633 2274120 3411180 4409266 6613899 6822360 8818532 11023165 13227798 17637064 19841697 22046330 26455596 33069495 39683394 44092660 52911192 59525091 66138990 79366788 88185320 99208485 119050182 132277980 158733576 198416970 238100364 264555960 297625455 396833940 476200728 595250910 793667880 1190501820 2381003640