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6803280324 = 22325922332
BaseRepresentation
bin1100101011000000…
…11101000111000100
3122120010120110010100
412111200131013010
5102413114432244
63043025524100
7330406633341
oct62540350704
918503513110
106803280324
112981302225
12139a4a3630
13845629a79
1448778d7c8
1529c40bb69
hex19581d1c4

6803280324 has 81 divisors (see below), whose sum is σ = 17569000813. Its totient is φ = 2219755584.

The previous prime is 6803280307. The next prime is 6803280413. The reversal of 6803280324 is 4230823086.

The square root of 6803280324 is 82482.

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

6803280324 is a `hidden beast` number, since 6 + 8 + 0 + 328 + 0 + 324 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1381608900 + 5421671424 = 37170^2 + 73632^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29198512 + ... + 29198744.

Almost surely, 26803280324 is an apocalyptic number.

6803280324 is the 82482-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6803280324

6803280324 is an abundant number, since it is smaller than the sum of its proper divisors (10765720489).

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

6803280324 is a wasteful number, since it uses less digits than its factorization.

6803280324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The cubic root of 6803280324 is about 1894.8410672350.

Multiplying 6803280324 by its sum of digits (36), we get a square (244918091664 = 4948922).

6803280324 divided by its sum of digits (36) gives a square (188980009 = 137472).

The spelling of 6803280324 in words is "six billion, eight hundred three million, two hundred eighty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 233 236 354 466 531 699 708 932 1062 1398 2097 2124 2796 3481 4194 6962 8388 10443 13747 13924 20886 27494 31329 41241 41772 54289 54988 62658 82482 108578 123723 125316 162867 164964 217156 247446 325734 488601 494892 651468 811073 977202 1622146 1954404 2433219 3203051 3244292 4866438 6406102 7299657 9609153 9732876 12812204 14599314 19218306 28827459 29198628 38436612 57654918 115309836 188980009 377960018 566940027 755920036 1133880054 1700820081 2267760108 3401640162 6803280324