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3268626984 = 233278378137
BaseRepresentation
bin1100001011010011…
…0100101000101000
322102210111110021200
43002310310220220
523143232030414
61300202004200
7143666604510
oct30264645050
98383443250
103268626984
111428066917
127727a6660
1340124940c
14230170840
15141e57109
hexc2d34a28

3268626984 has 96 divisors (see below), whose sum is σ = 10239203520. Its totient is φ = 922629888.

The previous prime is 3268626979. The next prime is 3268627013. The reversal of 3268626984 is 4896268623.

3268626984 is a `hidden beast` number, since 3 + 2 + 6 + 8 + 626 + 9 + 8 + 4 = 666.

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 3268626984.

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 23 ways as a sum of consecutive naturals, for example, 2764 + ... + 80900.

It is an arithmetic number, because the mean of its divisors is an integer number (106658370).

Almost surely, 23268626984 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 3268626984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119601760).

3268626984 is an abundant number, since it is smaller than the sum of its proper divisors (6970576536).

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

3268626984 is a wasteful number, since it uses less digits than its factorization.

3268626984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78239 (or 78232 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 3268626984 is about 57171.9072972032. The cubic root of 3268626984 is about 1484.0725099765.

The spelling of 3268626984 in words is "three billion, two hundred sixty-eight million, six hundred twenty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 83 84 126 166 168 249 252 332 498 504 581 664 747 996 1162 1494 1743 1992 2324 2988 3486 4648 5229 5976 6972 10458 13944 20916 41832 78137 156274 234411 312548 468822 546959 625096 703233 937644 1093918 1406466 1640877 1875288 2187836 2812932 3281754 4375672 4922631 5625864 6485371 6563508 9845262 12970742 13127016 19456113 19690524 25941484 38912226 39381048 45397597 51882968 58368339 77824452 90795194 116736678 136192791 155648904 181590388 233473356 272385582 363180776 408578373 466946712 544771164 817156746 1089542328 1634313492 3268626984