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3830305536 = 28331075179
BaseRepresentation
bin1110010001001101…
…1101001100000000
3100212221101200102000
43210103131030000
530321024234121
61432024424000
7163630026351
oct34423351400
910787350360
103830305536
111696120272
128aa918000
134907184a5
142849bdd28
15176405526
hexe44dd300

3830305536 has 144 divisors (see below), whose sum is σ = 11434953600. Its totient is φ = 1264591872.

The previous prime is 3830305489. The next prime is 3830305559. The reversal of 3830305536 is 6355030383.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×38303055362 = 29342480998224494592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3830305536.

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 15 ways as a sum of consecutive naturals, for example, 736995 + ... + 742173.

It is an arithmetic number, because the mean of its divisors is an integer number (79409400).

Almost surely, 23830305536 is an apocalyptic number.

3830305536 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 3830305536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5717476800).

3830305536 is an abundant number, since it is smaller than the sum of its proper divisors (7604648064).

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

3830305536 is a wasteful number, since it uses less digits than its factorization.

3830305536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5311 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 3830305536 is about 61889.4622371208. The cubic root of 3830305536 is about 1564.6281492935.

The spelling of 3830305536 in words is "three billion, eight hundred thirty million, three hundred five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 107 108 128 144 192 214 216 256 288 321 384 428 432 576 642 768 856 864 963 1152 1284 1712 1728 1926 2304 2568 2889 3424 3456 3852 5136 5179 5778 6848 6912 7704 10272 10358 11556 13696 15408 15537 20544 20716 23112 27392 30816 31074 41088 41432 46224 46611 61632 62148 82176 82864 92448 93222 123264 124296 139833 165728 184896 186444 246528 248592 279666 331456 369792 372888 497184 554153 559332 662912 739584 745776 994368 1108306 1118664 1325824 1491552 1662459 1988736 2216612 2237328 2983104 3324918 3977472 4433224 4474656 4987377 5966208 6649836 8866448 8949312 9974754 11932416 13299672 14962131 17732896 17898624 19949508 26599344 29924262 35465792 35797248 39899016 53198688 59848524 70931584 79798032 106397376 119697048 141863168 159596064 212794752 239394096 319192128 425589504 478788192 638384256 957576384 1276768512 1915152768 3830305536