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6804074340 = 2232572771437
BaseRepresentation
bin1100101011000110…
…11110111101100100
3122120012001210022100
412111203132331210
5102413320334330
63043054532100
7330416451300
oct62543367544
918505053270
106804074340
1129817a4838
12139a807030
138458472bb
14487918d00
1529c517060
hex1958def64

6804074340 has 108 divisors (see below), whose sum is σ = 24008693436. Its totient is φ = 1555214976.

The previous prime is 6804074323. The next prime is 6804074393. The reversal of 6804074340 is 434704086.

It can be written as a sum of positive squares in 2 ways, for example, as 2813878116 + 3990196224 = 53046^2 + 63168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6804074295 and 6804074304.

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 35 ways as a sum of consecutive naturals, for example, 376899 + ... + 394538.

It is an arithmetic number, because the mean of its divisors is an integer number (222302717).

Almost surely, 26804074340 is an apocalyptic number.

6804074340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6804074340 is an abundant number, since it is smaller than the sum of its proper divisors (17204619096).

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

6804074340 is a wasteful number, since it uses less digits than its factorization.

6804074340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771466 (or 771454 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 6804074340 is about 82486.8131279176. The cubic root of 6804074340 is about 1894.9147804795.

The spelling of 6804074340 in words is "six billion, eight hundred four million, seventy-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 771437 1542874 2314311 3085748 3857185 4628622 5400059 6942933 7714370 9257244 10800118 11571555 13885866 15428740 16200177 21600236 23143110 27000295 27771732 32400354 34714665 37800413 46286220 48600531 54000590 64800708 69429330 75600826 81000885 97201062 108001180 113401239 138858660 151201652 162001770 189002065 194402124 226802478 243002655 324003540 340203717 378004130 453604956 486005310 567006195 680407434 756008260 972010620 1134012390 1360814868 1701018585 2268024780 3402037170 6804074340