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3504405996 = 22327131278423
BaseRepresentation
bin1101000011100000…
…1111110111101100
3100001020011021021200
43100320033313230
524134111442441
61335423325500
7152561650050
oct32070176754
910036137250
103504405996
111539167103
12819750890
1343b04cc20
142535c7c60
151579cc7b6
hexd0e0fdec

3504405996 has 144 divisors (see below), whose sum is σ = 10989748224. Its totient is φ = 916852608.

The previous prime is 3504405929. The next prime is 3504406013. The reversal of 3504405996 is 6995044053.

3504405996 is a `hidden beast` number, since 3 + 50 + 4 + 4 + 0 + 599 + 6 = 666.

It is a super-2 number, since 2×35044059962 = 24561722769601504032, which contains 22 as substring.

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, 411841 + ... + 420263.

It is an arithmetic number, because the mean of its divisors is an integer number (76317696).

Almost surely, 23504405996 is an apocalyptic number.

3504405996 is a gapful number since it is divisible by the number (36) 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 3504405996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494874112).

3504405996 is an abundant number, since it is smaller than the sum of its proper divisors (7485342228).

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

3504405996 is a wasteful number, since it uses less digits than its factorization.

3504405996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8580 (or 8575 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 3504405996 is about 59198.0235818731. The cubic root of 3504405996 is about 1518.9313234914.

The spelling of 3504405996 in words is "three billion, five hundred four million, four hundred five thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 127 156 182 234 252 254 273 364 381 468 508 546 762 819 889 1092 1143 1524 1638 1651 1778 2286 2667 3276 3302 3556 4572 4953 5334 6604 8001 8423 9906 10668 11557 14859 16002 16846 19812 23114 25269 29718 32004 33692 34671 46228 50538 58961 59436 69342 75807 101076 104013 109499 117922 138684 151614 176883 208026 218998 235844 303228 328497 353766 416052 437996 530649 656994 707532 766493 985491 1061298 1069721 1313988 1532986 1970982 2122596 2139442 2299479 3065972 3209163 3941964 4278884 4598958 6418326 6898437 7488047 9197916 9627489 12836652 13796874 13906373 14976094 19254978 22464141 27593748 27812746 29952188 38509956 41719119 44928282 55625492 67392423 83438238 89856564 97344611 125157357 134784846 166876476 194689222 250314714 269569692 292033833 389378444 500629428 584067666 876101499 1168135332 1752202998 3504405996