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2730884814 = 233714948487
BaseRepresentation
bin1010001011000101…
…1111111011001110
321001022122022201000
42202301133323032
521043101303224
61130552201130
7124450065210
oct24261377316
97038568630
102730884814
1111815711a9
126426991a6
13346a0b398
141bc9925b0
1510eb360c9
hexa2c5fece

2730884814 has 64 divisors (see below), whose sum is σ = 6982272000. Its totient is φ = 775000224.

The previous prime is 2730884809. The next prime is 2730884831. The reversal of 2730884814 is 4184880372.

It is a self number, because there is not a number n which added to its sum of digits gives 2730884814.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32079 + ... + 80565.

It is an arithmetic number, because the mean of its divisors is an integer number (109098000).

Almost surely, 22730884814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2730884814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491136000).

2730884814 is an abundant number, since it is smaller than the sum of its proper divisors (4251387186).

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

2730884814 is a wasteful number, since it uses less digits than its factorization.

2730884814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48654 (or 48648 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 2730884814 is about 52257.8684410300. The cubic root of 2730884814 is about 1397.7659631434.

The spelling of 2730884814 in words is "two billion, seven hundred thirty million, eight hundred eighty-four thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 149 189 298 378 447 894 1043 1341 2086 2682 3129 4023 6258 8046 9387 18774 28161 48487 56322 96974 145461 290922 339409 436383 678818 872766 1018227 1309149 2036454 2618298 3054681 6109362 7224563 9164043 14449126 18328086 21673689 43347378 50571941 65021067 101143882 130042134 151715823 195063201 303431646 390126402 455147469 910294938 1365442407 2730884814