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3306564048 = 243611378243
BaseRepresentation
bin1100010100010110…
…0010100111010000
322112102212212011010
43011011202213100
523232440022143
61304035050520
7144640221264
oct30505424720
98472785133
103306564048
111447518567
12783440a40
1340906cc98
142352080a4
1514544ca33
hexc51629d0

3306564048 has 80 divisors (see below), whose sum is σ = 8746422336. Its totient is φ = 1076075520.

The previous prime is 3306564031. The next prime is 3306564049. The reversal of 3306564048 is 8404656033.

It is a super-2 number, since 2×33065640482 = 21866731607052292608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3306563997 and 3306564015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3306564049) by changing a digit.

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, 397015 + ... + 405257.

Almost surely, 23306564048 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 3306564048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373211168).

3306564048 is an abundant number, since it is smaller than the sum of its proper divisors (5439858288).

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

3306564048 is a wasteful number, since it uses less digits than its factorization.

3306564048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8452 (or 8446 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 3306564048 is about 57502.7307873287. The cubic root of 3306564048 is about 1489.7920295893.

The spelling of 3306564048 in words is "three billion, three hundred six million, five hundred sixty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 137 183 244 274 366 411 488 548 732 822 976 1096 1464 1644 2192 2928 3288 6576 8243 8357 16486 16714 24729 25071 32972 33428 49458 50142 65944 66856 98916 100284 131888 133712 197832 200568 395664 401136 502823 1005646 1129291 1508469 2011292 2258582 3016938 3387873 4022584 4517164 6033876 6775746 8045168 9034328 12067752 13551492 18068656 24135504 27102984 54205968 68886751 137773502 206660253 275547004 413320506 551094008 826641012 1102188016 1653282024 3306564048