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2730768684 = 2237173076229
BaseRepresentation
bin1010001011000100…
…0011100100101100
321001022102102101220
42202301003210230
521043034044214
61130545503340
7124446102510
oct24261034454
97038372356
102730768684
1111814a1a26
12642641b50
1334699a577
141bc962140
1510eb119a9
hexa2c4392c

2730768684 has 96 divisors (see below), whose sum is σ = 7736762880. Its totient is φ = 731814912.

The previous prime is 2730768671. The next prime is 2730768709. The reversal of 2730768684 is 4868670372.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 31 ways as a sum of consecutive naturals, for example, 435282 + ... + 441510.

It is an arithmetic number, because the mean of its divisors is an integer number (80591280).

Almost surely, 22730768684 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 2730768684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868381440).

2730768684 is an abundant number, since it is smaller than the sum of its proper divisors (5005994196).

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

2730768684 is a wasteful number, since it uses less digits than its factorization.

2730768684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6567 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The square root of 2730768684 is about 52256.7573046778. The cubic root of 2730768684 is about 1397.7461496796.

The spelling of 2730768684 in words is "two billion, seven hundred thirty million, seven hundred sixty-eight thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 307 357 476 614 714 921 1228 1428 1842 2149 3684 4298 5219 6229 6447 8596 10438 12458 12894 15657 18687 20876 24916 25788 31314 36533 37374 43603 62628 73066 74748 87206 105893 109599 130809 146132 174412 211786 219198 261618 317679 423572 438396 523236 635358 741251 1270716 1482502 1912303 2223753 2965004 3824606 4447506 5736909 7649212 8895012 11473818 13386121 22947636 26772242 32509151 40158363 53544484 65018302 80316726 97527453 130036604 160633452 195054906 227564057 390109812 455128114 682692171 910256228 1365384342 2730768684