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3282946209 = 327122692
BaseRepresentation
bin1100001110101101…
…1100100010100001
322110210102221120100
43003223130202201
523210413234314
61301432533013
7144232403514
oct30353344241
98423387510
103282946209
111435157094
12777551169
134041c0c2a
1423201ad7b
15143334c09
hexc3adc8a1

3282946209 has 27 divisors (see below), whose sum is σ = 4827709939. Its totient is φ = 2149783440.

The previous prime is 3282946181. The next prime is 3282946229. The reversal of 3282946209 is 9026492823.

The square root of 3282946209 is 57297.

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., 216001809 + 3066944400 = 14697^2 + 55380^2 .

It is not a de Polignac number, because 3282946209 - 27 = 3282946081 is a prime.

It is a super-2 number, since 2×32829462092 = 21555471622374943362, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3282946229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12204127 + ... + 12204395.

Almost surely, 23282946209 is an apocalyptic number.

3282946209 is the 57297-th square number.

3282946209 is the 28649-th centered octagonal number.

It is an amenable number.

3282946209 is a deficient number, since it is larger than the sum of its proper divisors (1544763730).

3282946209 is an frugal number, since it uses more digits than its factorization.

3282946209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The cubic root of 3282946209 is about 1486.2364982765.

The spelling of 3282946209 in words is "three billion, two hundred eighty-two million, nine hundred forty-six thousand, two hundred nine".

Divisors: 1 3 9 71 213 269 639 807 2421 5041 15123 19099 45369 57297 72361 171891 217083 651249 1356029 4068087 5137631 12204261 15412893 46238679 364771801 1094315403 3282946209