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3006139734 = 2321312846751
BaseRepresentation
bin1011001100101110…
…0000110101010110
321202111120201110200
42303023200311112
522124032432414
61214144001330
7134331523533
oct26313406526
97674521420
103006139734
111302984304
126ba900246
1338ba54010
14207363d8a
15128da8109
hexb32e0d56

3006139734 has 24 divisors (see below), whose sum is σ = 7014326592. Its totient is φ = 924966000.

The previous prime is 3006139729. The next prime is 3006139751. The reversal of 3006139734 is 4379316003.

3006139734 is a `hidden beast` number, since 3 + 0 + 0 + 613 + 9 + 7 + 34 = 666.

3006139734 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×30061397343 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6423142 + ... + 6423609.

It is an arithmetic number, because the mean of its divisors is an integer number (292263608).

Almost surely, 23006139734 is an apocalyptic number.

3006139734 is an abundant number, since it is smaller than the sum of its proper divisors (4008186858).

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

3006139734 is a wasteful number, since it uses less digits than its factorization.

3006139734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12846772 (or 12846769 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3006139734 is about 54828.2749500657. The cubic root of 3006139734 is about 1443.2327919459.

The spelling of 3006139734 in words is "three billion, six million, one hundred thirty-nine thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 12846751 25693502 38540253 77080506 115620759 167007763 231241518 334015526 501023289 1002046578 1503069867 3006139734