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3820212 = 2232112877
BaseRepresentation
bin1110100100101010110100
321012002100100
432210222310
51434221322
6213514100
744320434
oct16445264
97162310
103820212
11217a200
121342930
13a39aa6
147162c4
15506dac
hex3a4ab4

3820212 has 54 divisors (see below), whose sum is σ = 10626434. Its totient is φ = 1156320.

The previous prime is 3820181. The next prime is 3820237. The reversal of 3820212 is 2120283.

It is a happy number.

3820212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3663396 + 156816 = 1914^2 + 396^2 .

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

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 17 ways as a sum of consecutive naturals, for example, 3918 + ... + 4794.

Almost surely, 23820212 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 3820212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5313217).

3820212 is an abundant number, since it is smaller than the sum of its proper divisors (6806222).

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

3820212 is a wasteful number, since it uses less digits than its factorization.

3820212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3820212 is about 1954.5362621348. The cubic root of 3820212 is about 156.3252582525.

Adding to 3820212 its reverse (2120283), we get a palindrome (5940495).

The spelling of 3820212 in words is "three million, eight hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 877 1089 1452 1754 2178 2631 3508 4356 5262 7893 9647 10524 15786 19294 28941 31572 38588 57882 86823 106117 115764 173646 212234 318351 347292 424468 636702 955053 1273404 1910106 3820212