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3268224008 = 237235634507
BaseRepresentation
bin1100001011001101…
…0010010000001000
322102202201222111122
43002303102100020
523143131132013
61300145214412
7143663305610
oct30263222010
98382658448
103268224008
111427911085
12772631408
13401137b7a
142300a7a40
15141dc7a08
hexc2cd2408

3268224008 has 64 divisors (see below), whose sum is σ = 7322434560. Its totient is φ = 1337092416.

The previous prime is 3268223977. The next prime is 3268224053. The reversal of 3268224008 is 8004228623.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 722891 + ... + 727397.

It is an arithmetic number, because the mean of its divisors is an integer number (114413040).

Almost surely, 23268224008 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 3268224008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3661217280).

3268224008 is an abundant number, since it is smaller than the sum of its proper divisors (4054210552).

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

3268224008 is a wasteful number, since it uses less digits than its factorization.

3268224008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 5102 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 3268224008 is about 57168.3829402232. The cubic root of 3268224008 is about 1484.0115190074.

The spelling of 3268224008 in words is "three billion, two hundred sixty-eight million, two hundred twenty-four thousand, eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 563 644 1126 1288 2252 3941 4504 4507 7882 9014 12949 15764 18028 25898 31528 31549 36056 51796 63098 90643 103592 103661 126196 181286 207322 252392 362572 414644 725144 725627 829288 1451254 2537441 2902508 5074882 5805016 10149764 17762087 20299528 35524174 58361143 71048348 116722286 142096696 233444572 408528001 466889144 817056002 1634112004 3268224008