Search a number
-
+
3318966 = 232725371
BaseRepresentation
bin1100101010010010110110
320020121202200
430222102312
51322201331
6155045330
740132200
oct14522266
96217680
103318966
111967652
121140846
138c28b1
14625770
154585e6
hex32a4b6

3318966 has 72 divisors (see below), whose sum is σ = 8643024. Its totient is φ = 917280.

The previous prime is 3318947. The next prime is 3318983. The reversal of 3318966 is 6698133.

It is a happy number.

3318966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33189662 = 22031070618312, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3318966.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46711 + ... + 46781.

It is an arithmetic number, because the mean of its divisors is an integer number (120042).

Almost surely, 23318966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3318966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321512).

3318966 is an abundant number, since it is smaller than the sum of its proper divisors (5324058).

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

3318966 is a wasteful number, since it uses less digits than its factorization.

3318966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3318966 is about 1821.8029531209. The cubic root of 3318966 is about 149.1652296745.

The spelling of 3318966 in words is "three million, three hundred eighteen thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 53 63 71 98 106 126 142 147 159 213 294 318 371 426 441 477 497 639 742 882 954 994 1113 1278 1491 2226 2597 2982 3339 3479 3763 4473 5194 6678 6958 7526 7791 8946 10437 11289 15582 20874 22578 23373 26341 31311 33867 46746 52682 62622 67734 79023 158046 184387 237069 368774 474138 553161 1106322 1659483 3318966