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3261286944 = 2532411391987
BaseRepresentation
bin1100001001100011…
…0100101000100000
322102021200112122100
43002120310220200
523134342140234
61255340410400
7143550324126
oct30230645040
98367615570
103261286944
111423a03173
12770246a00
133cc8794b6
1422d1bd916
151414a7399
hexc2634a20

3261286944 has 144 divisors (see below), whose sum is σ = 9573651360. Its totient is φ = 1052421120.

The previous prime is 3261286943. The next prime is 3261286997. The reversal of 3261286944 is 4496821623.

3261286944 is a `hidden beast` number, since 326 + 1 + 286 + 9 + 44 = 666.

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

It is a super-2 number, since 2×32612869442 = 21271985062209718272, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3261286944.

It is not an unprimeable number, because it can be changed into a prime (3261286943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1640319 + ... + 1642305.

It is an arithmetic number, because the mean of its divisors is an integer number (66483690).

Almost surely, 23261286944 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 3261286944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786825680).

3261286944 is an abundant number, since it is smaller than the sum of its proper divisors (6312364416).

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

3261286944 is a wasteful number, since it uses less digits than its factorization.

3261286944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2172 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 3261286944 is about 57107.6785029824. The cubic root of 3261286944 is about 1482.9607979613.

The spelling of 3261286944 in words is "three billion, two hundred sixty-one million, two hundred eighty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 139 144 164 246 278 288 328 369 417 492 556 656 738 834 984 1112 1251 1312 1476 1668 1968 1987 2224 2502 2952 3336 3936 3974 4448 5004 5699 5904 5961 6672 7948 10008 11398 11808 11922 13344 15896 17097 17883 20016 22796 23844 31792 34194 35766 40032 45592 47688 51291 63584 68388 71532 81467 91184 95376 102582 136776 143064 162934 182368 190752 205164 244401 273552 276193 286128 325868 410328 488802 547104 552386 572256 651736 733203 820656 828579 977604 1104772 1303472 1466406 1641312 1657158 1955208 2209544 2485737 2606944 2932812 3314316 3910416 4419088 4971474 5865624 6628632 7820832 8838176 9942948 11323913 11731248 13257264 19885896 22647826 23462496 26514528 33971739 39771792 45295652 67943478 79543584 90591304 101915217 135886956 181182608 203830434 271773912 362365216 407660868 543547824 815321736 1087095648 1630643472 3261286944