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3006678768 = 243103608147
BaseRepresentation
bin1011001100110110…
…0100011011110000
321202112121002212220
42303031210123300
522124202210033
61214203321040
7134336230212
oct26315443360
97675532786
103006678768
111303212295
126bab20180
1338bbb2482
142074645b2
15128e62bb3
hexb33646f0

3006678768 has 40 divisors (see below), whose sum is σ = 7842676608. Its totient is φ = 992494272.

The previous prime is 3006678761. The next prime is 3006678799. The reversal of 3006678768 is 8678766003.

3006678768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3006678768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006678761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299130 + ... + 309017.

Almost surely, 23006678768 is an apocalyptic number.

It is an amenable number.

3006678768 is an abundant number, since it is smaller than the sum of its proper divisors (4835997840).

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

3006678768 is a wasteful number, since it uses less digits than its factorization.

3006678768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608261 (or 608255 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The square root of 3006678768 is about 54833.1903868451. The cubic root of 3006678768 is about 1443.3190493081.

The spelling of 3006678768 in words is "three billion, six million, six hundred seventy-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1236 1648 2472 4944 608147 1216294 1824441 2432588 3648882 4865176 7297764 9730352 14595528 29191056 62639141 125278282 187917423 250556564 375834846 501113128 751669692 1002226256 1503339384 3006678768