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3828321 = 32728681
BaseRepresentation
bin1110100110101001100001
321012111110200
432212221201
51440001241
6214015413
744353200
oct16465141
97174420
103828321
112185302
121347569
13a406a3
14719237
155094b6
hex3a6a61

3828321 has 18 divisors (see below), whose sum is σ = 6433362. Its totient is φ = 2187360.

The previous prime is 3828311. The next prime is 3828343. The reversal of 3828321 is 1238283.

3828321 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., 3651921 + 176400 = 1911^2 + 420^2 .

It is not a de Polignac number, because 3828321 - 29 = 3827809 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3828311) 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 17 ways as a sum of consecutive naturals, for example, 3900 + ... + 4781.

It is an arithmetic number, because the mean of its divisors is an integer number (357409).

Almost surely, 23828321 is an apocalyptic number.

It is an amenable number.

3828321 is a deficient number, since it is larger than the sum of its proper divisors (2605041).

3828321 is a wasteful number, since it uses less digits than its factorization.

3828321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8701 (or 8691 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 3828321 is about 1956.6095675939. The cubic root of 3828321 is about 156.4357883882.

The spelling of 3828321 in words is "three million, eight hundred twenty-eight thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 8681 26043 60767 78129 182301 425369 546903 1276107 3828321