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3283686 = 233721773
BaseRepresentation
bin1100100001101011100110
320011211101000
430201223212
51320034221
6154214130
736624300
oct14415346
96154330
103283686
11194309a
121124346
138ac813
14616970
1544ce26
hex321ae6

3283686 has 96 divisors (see below), whose sum is σ = 9110880. Its totient is φ = 870912.

The previous prime is 3283681. The next prime is 3283711. The reversal of 3283686 is 6863823.

3283686 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 35 + 213 + 8 + 313 + 64 + 8 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 3283686.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3283681) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 44946 + ... + 45018.

It is an arithmetic number, because the mean of its divisors is an integer number (94905).

Almost surely, 23283686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3283686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555440).

3283686 is an abundant number, since it is smaller than the sum of its proper divisors (5827194).

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

3283686 is a wasteful number, since it uses less digits than its factorization.

3283686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 102 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3283686 is about 1812.0943684036. The cubic root of 3283686 is about 148.6348127865.

It can be divided in two parts, 3283 and 686, that added together give a square (3969 = 632).

The spelling of 3283686 in words is "three million, two hundred eighty-three thousand, six hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 73 98 102 119 126 146 147 153 189 219 238 294 306 357 378 438 441 459 511 657 714 833 882 918 1022 1071 1241 1314 1323 1533 1666 1971 2142 2482 2499 2646 3066 3213 3577 3723 3942 4599 4998 6426 7154 7446 7497 8687 9198 10731 11169 13797 14994 17374 21462 22338 22491 26061 27594 32193 33507 44982 52122 60809 64386 67014 78183 96579 121618 156366 182427 193158 234549 364854 469098 547281 1094562 1641843 3283686