Search a number
-
+
3205664334 = 2321997271231
BaseRepresentation
bin1011111100010010…
…1000111001001110
322021102000121202200
42333010220321032
523031122224314
61250032302330
7142303461105
oct27704507116
98242017680
103205664334
1113a5572074
127556a19a6
133c11a2b02
14225a6103c
1513b66b709
hexbf128e4e

3205664334 has 48 divisors (see below), whose sum is σ = 6995788800. Its totient is φ = 1060860240.

The previous prime is 3205664333. The next prime is 3205664339. The reversal of 3205664334 is 4334665023.

3205664334 is a `hidden beast` number, since 3 + 2 + 0 + 5 + 6 + 643 + 3 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3205664333) 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 23 ways as a sum of consecutive naturals, for example, 2603499 + ... + 2604729.

It is an arithmetic number, because the mean of its divisors is an integer number (145745600).

Almost surely, 23205664334 is an apocalyptic number.

3205664334 is an abundant number, since it is smaller than the sum of its proper divisors (3790124466).

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

3205664334 is a wasteful number, since it uses less digits than its factorization.

3205664334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The square root of 3205664334 is about 56618.5864712287. The cubic root of 3205664334 is about 1474.4815696381.

It can be divided in two parts, 320566 and 4334, that added together give a square (324900 = 5702).

The spelling of 3205664334 in words is "three billion, two hundred five million, six hundred sixty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 199 398 597 727 1194 1231 1454 1791 2181 2462 3582 3693 4362 6543 7386 11079 13086 22158 144673 244969 289346 434019 489938 734907 868038 894937 1302057 1469814 1789874 2204721 2604114 2684811 4409442 5369622 8054433 16108866 178092463 356184926 534277389 1068554778 1602832167 3205664334