Search a number
-
+
3285666288 = 243323330683
BaseRepresentation
bin1100001111010111…
…0100100111110000
322110222120010211000
43003311310213300
523212112310123
61302011122000
7144264463002
oct30365644760
98428503730
103285666288
111436744793
12778443300
13404934048
14232528372
151436c0b43
hexc3d749f0

3285666288 has 80 divisors (see below), whose sum is σ = 9841155840. Its totient is φ = 1047600576.

The previous prime is 3285666269. The next prime is 3285666289. The reversal of 3285666288 is 8826665823.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3285666289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155406 + ... + 175277.

It is an arithmetic number, because the mean of its divisors is an integer number (123014448).

Almost surely, 23285666288 is an apocalyptic number.

It is an amenable number.

3285666288 is an abundant number, since it is smaller than the sum of its proper divisors (6555489552).

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

3285666288 is a wasteful number, since it uses less digits than its factorization.

3285666288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330723 (or 330711 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 3285666288 is about 57320.7317468994. The cubic root of 3285666288 is about 1486.6468577956.

The spelling of 3285666288 in words is "three billion, two hundred eighty-five million, six hundred sixty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 330683 661366 992049 1322732 1984098 2645464 2976147 3968196 5290928 5952294 7605709 7936392 8928441 11904588 15211418 15872784 17856882 22817127 23809176 30422836 35713764 45634254 47618352 60845672 68451381 71427528 91268508 121691344 136902762 142855056 182537016 205354143 273805524 365074032 410708286 547611048 821416572 1095222096 1642833144 3285666288