Search a number
-
+
3328842 = 2311311627
BaseRepresentation
bin1100101100101101001010
320021010022110
430230231022
51323010332
6155203150
740203036
oct14545512
96233273
103328842
111974010
1211464b6
138c723a
146291c6
1545b4cc
hex32cb4a

3328842 has 32 divisors (see below), whose sum is σ = 7501824. Its totient is φ = 975600.

The previous prime is 3328837. The next prime is 3328849. The reversal of 3328842 is 2488233.

3328842 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 2×33288422 = 22162378121928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3328849) 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 15 ways as a sum of consecutive naturals, for example, 1233 + ... + 2859.

It is an arithmetic number, because the mean of its divisors is an integer number (234432).

Almost surely, 23328842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3328842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750912).

3328842 is an abundant number, since it is smaller than the sum of its proper divisors (4172982).

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

3328842 is a wasteful number, since it uses less digits than its factorization.

3328842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674.

The product of its digits is 9216, while the sum is 30.

The square root of 3328842 is about 1824.5114414549. The cubic root of 3328842 is about 149.3130364545.

The spelling of 3328842 in words is "three million, three hundred twenty-eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 1627 2046 3254 4881 9762 17897 35794 50437 53691 100874 107382 151311 302622 554807 1109614 1664421 3328842