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3812166 = 2322967109
BaseRepresentation
bin1110100010101101000110
321011200022100
432202231012
51433442131
6213412530
744255121
oct16425506
97150270
103812166
112174156
12133a146
13a36227
147133b8
155047e6
hex3a2b46

3812166 has 48 divisors (see below), whose sum is σ = 8751600. Its totient is φ = 1197504.

The previous prime is 3812153. The next prime is 3812177. The reversal of 3812166 is 6612183.

3812166 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 2×38121662 = 29065219223112, which contains 22 as substring.

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 34920 + ... + 35028.

It is an arithmetic number, because the mean of its divisors is an integer number (182325).

Almost surely, 23812166 is an apocalyptic number.

3812166 is the 1044-th nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3812166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375800).

3812166 is an abundant number, since it is smaller than the sum of its proper divisors (4939434).

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

3812166 is a wasteful number, since it uses less digits than its factorization.

3812166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 210 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 3812166 is about 1952.4768884676. The cubic root of 3812166 is about 156.2154321396.

The spelling of 3812166 in words is "three million, eight hundred twelve thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 29 58 67 87 109 134 174 201 218 261 327 402 522 603 654 981 1206 1943 1962 3161 3886 5829 6322 7303 9483 11658 14606 17487 18966 21909 28449 34974 43818 56898 65727 131454 211787 423574 635361 1270722 1906083 3812166