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2730654944 = 252311332833
BaseRepresentation
bin1010001011000010…
…0111110011100000
321001022012122101022
42202300213303200
521043021424234
61130543225012
7124445120063
oct24260476340
97038178338
102730654944
111181424526
126425a8168
1334695a874
141bc9328da
1510eadce2e
hexa2c27ce0

2730654944 has 48 divisors (see below), whose sum is σ = 5659530912. Its totient is φ = 1294368768.

The previous prime is 2730654943. The next prime is 2730654947. The reversal of 2730654944 is 4494560372.

It is a junction number, because it is equal to n+sod(n) for n = 2730654895 and 2730654904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2730654943) 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, 66752 + ... + 99584.

It is an arithmetic number, because the mean of its divisors is an integer number (117906894).

Almost surely, 22730654944 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 2730654944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829765456).

2730654944 is an abundant number, since it is smaller than the sum of its proper divisors (2928875968).

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

2730654944 is a wasteful number, since it uses less digits than its factorization.

2730654944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32979 (or 32971 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The square root of 2730654944 is about 52255.6690130363. The cubic root of 2730654944 is about 1397.7267434399.

The spelling of 2730654944 in words is "two billion, seven hundred thirty million, six hundred fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 92 113 184 226 368 452 736 904 1808 2599 3616 5198 10396 20792 32833 41584 65666 83168 131332 262664 525328 755159 1050656 1510318 3020636 3710129 6041272 7420258 12082544 14840516 24165088 29681032 59362064 85332967 118724128 170665934 341331868 682663736 1365327472 2730654944