Search a number
-
+
3300340212 = 22321319735797
BaseRepresentation
bin1100010010110111…
…0011000111110100
322112000011122122200
43010231303013310
523224341341322
61303253424500
7144533300061
oct30455630764
98460148580
103300340212
111443a574a4
1278133b130
134079a1140
14234467c68
15144b1d8ac
hexc4b731f4

3300340212 has 72 divisors (see below), whose sum is σ = 9030117096. Its totient is φ = 1010306304.

The previous prime is 3300340193. The next prime is 3300340213. The reversal of 3300340212 is 2120430033.

3300340212 is a `hidden beast` number, since 3 + 300 + 340 + 21 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 226081296 + 3074258916 = 15036^2 + 55446^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300340213) 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, 74298 + ... + 110094.

It is an arithmetic number, because the mean of its divisors is an integer number (125418293).

Almost surely, 23300340212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3300340212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515058548).

3300340212 is an abundant number, since it is smaller than the sum of its proper divisors (5729776884).

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

3300340212 is a wasteful number, since it uses less digits than its factorization.

3300340212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36017 (or 36012 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3300340212 is about 57448.5875544386. The cubic root of 3300340212 is about 1488.8567137730.

Adding to 3300340212 its reverse (2120430033), we get a palindrome (5420770245).

The spelling of 3300340212 in words is "three billion, three hundred million, three hundred forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 197 234 394 468 591 788 1182 1773 2364 2561 3546 5122 7092 7683 10244 15366 23049 30732 35797 46098 71594 92196 107391 143188 214782 322173 429564 465361 644346 930722 1288692 1396083 1861444 2792166 4188249 5584332 7052009 8376498 14104018 16752996 21156027 28208036 42312054 63468081 84624108 91676117 126936162 183352234 253872324 275028351 366704468 550056702 825085053 1100113404 1650170106 3300340212