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3006730512 = 243246145293
BaseRepresentation
bin1011001100110111…
…0001000100010000
321202112200201212100
42303031301010100
522124210334022
61214204400400
7134336534112
oct26315610420
97675621770
103006730512
111303248155
126bab46100
1338bbccba6
142074793b2
15128e731ac
hexb3371110

3006730512 has 60 divisors (see below), whose sum is σ = 8433108684. Its totient is φ = 1000047360.

The previous prime is 3006730511. The next prime is 3006730523. The reversal of 3006730512 is 2150376003.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1445216256 + 1561514256 = 38016^2 + 39516^2 .

It is not an unprimeable number, because it can be changed into a prime (3006730511) 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 11 ways as a sum of consecutive naturals, for example, 43738 + ... + 89030.

Almost surely, 23006730512 is an apocalyptic number.

It is an amenable number.

3006730512 is an abundant number, since it is smaller than the sum of its proper divisors (5426378172).

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

3006730512 is a wasteful number, since it uses less digits than its factorization.

3006730512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45768 (or 45759 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 3006730512 is about 54833.6622158323. The cubic root of 3006730512 is about 1443.3273289502.

The spelling of 3006730512 in words is "three billion, six million, seven hundred thirty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 461 922 1383 1844 2766 3688 4149 5532 7376 8298 11064 16596 22128 33192 45293 66384 90586 135879 181172 271758 362344 407637 543516 724688 815274 1087032 1630548 2174064 3261096 6522192 20880073 41760146 62640219 83520292 125280438 167040584 187920657 250560876 334081168 375841314 501121752 751682628 1002243504 1503365256 3006730512