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3275043984 = 24321922512
BaseRepresentation
bin1100001100110101…
…0011010010010000
322110020120110202100
43003031103102100
523201402401414
61300551320400
7144105262122
oct30315232220
98406513670
103275043984
11143074a023
12774980100
13402685164
14230d61212
151427c3609
hexc3353490

3275043984 has 135 divisors (see below), whose sum is σ = 9712055379. Its totient is φ = 1030104000.

The previous prime is 3275043953. The next prime is 3275043997. The reversal of 3275043984 is 4893405723.

The square root of 3275043984 is 57228.

It is a perfect power (a square), and thus also a powerful number.

3275043984 is a `hidden beast` number, since 32 + 7 + 504 + 39 + 84 = 666.

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 26 ways as a sum of consecutive naturals, for example, 13047859 + ... + 13048109.

Almost surely, 23275043984 is an apocalyptic number.

3275043984 is the 57228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3275043984

3275043984 is an abundant number, since it is smaller than the sum of its proper divisors (6437011395).

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

3275043984 is a wasteful number, since it uses less digits than its factorization.

3275043984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The cubic root of 3275043984 is about 1485.0430569429.

The spelling of 3275043984 in words is "three billion, two hundred seventy-five million, forty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 251 304 342 361 456 502 684 722 753 912 1004 1083 1368 1444 1506 2008 2166 2259 2736 2888 3012 3249 4016 4332 4518 4769 5776 6024 6498 8664 9036 9538 12048 12996 14307 17328 18072 19076 25992 28614 36144 38152 42921 51984 57228 63001 76304 85842 90611 114456 126002 171684 181222 189003 228912 252004 271833 343368 362444 378006 504008 543666 567009 686736 724888 756012 815499 1008016 1087332 1134018 1197019 1449776 1512024 1630998 2174664 2268036 2394038 3024048 3261996 3591057 4349328 4536072 4788076 6523992 7182114 9072144 9576152 10773171 13047984 14364228 19152304 21546342 22743361 28728456 43092684 45486722 57456912 68230083 86185368 90973444 136460166 172370736 181946888 204690249 272920332 363893776 409380498 545840664 818760996 1091681328 1637521992 3275043984