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3328 = 2813
BaseRepresentation
bin110100000000
311120021
4310000
5101303
623224
712463
oct6400
94507
103328
112556
121b14
131690
1412da
15ebd
hexd00

3328 has 18 divisors (see below), whose sum is σ = 7154. Its totient is φ = 1536.

The previous prime is 3323. The next prime is 3329. The reversal of 3328 is 8233.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2304 + 1024 = 48^2 + 32^2 .

It is a super-2 number, since 2×33282 = 22151168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 11.

It is a nialpdrome in base 4, base 8 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3323) by changing a digit.

3328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 250 + ... + 262.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577).

3328 is an abundant number, since it is smaller than the sum of its proper divisors (3826).

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

3328 is an equidigital number, since it uses as much as digits as its factorization.

3328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29 (or 15 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 3328 is about 57.6888204074. The cubic root of 3328 is about 14.9300446273.

The spelling of 3328 in words is "three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328