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384040000008 = 23347531597451
BaseRepresentation
bin1011001011010101001…
…00010101101000001000
31100201021102000100220000
411211222210111220020
522243003220000013
6452231530003000
736513604065540
oct5455244255010
91321242010800
10384040000008
11138963628165
126251a276460
132a2a3c4b972
1414832684320
159eca6a4973
hex596a915a08

384040000008 has 160 divisors (see below), whose sum is σ = 1252530164160. Its totient is φ = 107655350400.

The previous prime is 384039999991. The next prime is 384040000027. The reversal of 384040000008 is 800000040483.

It is a super-2 number, since 2×3840400000082 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 558318 + ... + 1039133.

It is an arithmetic number, because the mean of its divisors is an integer number (7828313526).

Almost surely, 2384040000008 is an apocalyptic number.

It is an amenable number.

384040000008 is an abundant number, since it is smaller than the sum of its proper divisors (868490164152).

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

384040000008 is a wasteful number, since it uses less digits than its factorization.

384040000008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597529 (or 1597516 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 384040000008 in words is "three hundred eighty-four billion, forty million, eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 53 54 56 63 72 81 84 106 108 126 159 162 168 189 212 216 252 318 324 371 378 424 477 504 567 636 648 742 756 954 1113 1134 1272 1431 1484 1512 1908 2226 2268 2862 2968 3339 3816 4293 4452 4536 5724 6678 8586 8904 10017 11448 13356 17172 20034 26712 30051 34344 40068 60102 80136 120204 240408 1597451 3194902 4792353 6389804 9584706 11182157 12779608 14377059 19169412 22364314 28754118 33546471 38338824 43131177 44728628 57508236 67092942 84664903 86262354 89457256 100639413 115016472 129393531 134185884 169329806 172524708 201278826 253994709 258787062 268371768 301918239 338659612 345049416 402557652 507989418 517574124 592654321 603836478 677319224 761984127 805115304 905754717 1015978836 1035148248 1185308642 1207672956 1523968254 1777962963 1811509434 2031957672 2285952381 2370617284 2415345912 3047936508 3555925926 3623018868 4571904762 4741234568 5333888889 6095873016 6857857143 7111851852 7246037736 9143809524 10667777778 13715714286 14223703704 16001666667 18287619048 21335555556 27431428572 32003333334 42671111112 48005000001 54862857144 64006666668 96010000002 128013333336 192020000004 384040000008