Search a number
-
+
2740731904 = 2144092
BaseRepresentation
bin1010001101011100…
…0100000000000000
321002000011121101001
42203113010000000
521103111410104
61131543221344
7124626560011
oct24327040000
97060147331
102740731904
111187087499
12645a47854
13348a78471
141bddd7008
1511092daa4
hexa35c4000

2740731904 has 45 divisors (see below), whose sum is σ = 5494730997. Its totient is φ = 1367015424.

The previous prime is 2740731871. The next prime is 2740731923. The reversal of 2740731904 is 4091370472.

The square root of 2740731904 is 52352.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2504802304 + 235929600 = 50048^2 + 15360^2 .

It is a super-2 number, since 2×27407319042 = 15023222739206930432, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6700852 + ... + 6701260.

Almost surely, 22740731904 is an apocalyptic number.

2740731904 is the 52352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2740731904

2740731904 is an abundant number, since it is smaller than the sum of its proper divisors (2753999093).

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

2740731904 is an frugal number, since it uses more digits than its factorization.

2740731904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The cubic root of 2740731904 is about 1399.4439805629.

The spelling of 2740731904 in words is "two billion, seven hundred forty million, seven hundred thirty-one thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 409 512 818 1024 1636 2048 3272 4096 6544 8192 13088 16384 26176 52352 104704 167281 209408 334562 418816 669124 837632 1338248 1675264 2676496 3350528 5352992 6701056 10705984 21411968 42823936 85647872 171295744 342591488 685182976 1370365952 2740731904