Search a number
-
+
3283641 = 322329547
BaseRepresentation
bin1100100001101010111001
320011211022100
430201222321
51320034031
6154214013
736624204
oct14415271
96154270
103283641
111943059
121124309
138ac7aa
1461693b
1544cde6
hex321ab9

3283641 has 24 divisors (see below), whose sum is σ = 5129280. Its totient is φ = 2018016.

The previous prime is 3283633. The next prime is 3283663. The reversal of 3283641 is 1463823.

It is a happy number.

3283641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3283641 - 23 = 3283633 is a prime.

It is a d-powerful number, because it can be written as 35 + 217 + 87 + 38 + 62 + 410 + 1 .

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 23 ways as a sum of consecutive naturals, for example, 5730 + ... + 6276.

It is an arithmetic number, because the mean of its divisors is an integer number (213720).

Almost surely, 23283641 is an apocalyptic number.

It is an amenable number.

3283641 is a deficient number, since it is larger than the sum of its proper divisors (1845639).

3283641 is a wasteful number, since it uses less digits than its factorization.

3283641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 602 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3283641 is about 1812.0819517892. The cubic root of 3283641 is about 148.6341338141.

It can be divided in two parts, 328 and 3641, that added together give a square (3969 = 632).

The spelling of 3283641 in words is "three million, two hundred eighty-three thousand, six hundred forty-one".

Divisors: 1 3 9 23 29 69 87 207 261 547 667 1641 2001 4923 6003 12581 15863 37743 47589 113229 142767 364849 1094547 3283641