Search a number
-
+
2804332320 = 25335649151
BaseRepresentation
bin1010011100100110…
…1011011100100000
321020102211211202000
42213021223130200
521220402113240
61142134324000
7126331300656
oct24711533440
97212754660
102804332320
111209a77419
126631b9600
13358cb614a
141c8630dd6
151162e3430
hexa726b720

2804332320 has 96 divisors (see below), whose sum is σ = 9815178240. Its totient is φ = 747820800.

The previous prime is 2804332301. The next prime is 2804332337. The reversal of 2804332320 is 232334082.

2804332320 is a `hidden beast` number, since 2 + 8 + 0 + 4 + 332 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320256 + ... + 328895.

It is an arithmetic number, because the mean of its divisors is an integer number (102241440).

Almost surely, 22804332320 is an apocalyptic number.

2804332320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2804332320 is an abundant number, since it is smaller than the sum of its proper divisors (7010845920).

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

2804332320 is a wasteful number, since it uses less digits than its factorization.

2804332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649175 (or 649161 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2804332320 is about 52955.9469748205. The cubic root of 2804332320 is about 1410.1863040380.

The spelling of 2804332320 in words is "two billion, eight hundred four million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 649151 1298302 1947453 2596604 3245755 3894906 5193208 5842359 6491510 7789812 9737265 10386416 11684718 12983020 15579624 17527077 19474530 20772832 23369436 25966040 29211795 31159248 35054154 38949060 46738872 51932080 58423590 62318496 70108308 77898120 87635385 93477744 103864160 116847180 140216616 155796240 175270770 186955488 233694360 280433232 311592480 350541540 467388720 560866464 701083080 934777440 1402166160 2804332320