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3280 = 24541
BaseRepresentation
bin110011010000
311111111
4303100
5101110
623104
712364
oct6320
94444
103280
112512
121a94
131654
1412a4
15e8a
hexcd0

3280 has 20 divisors (see below), whose sum is σ = 7812. Its totient is φ = 1280.

The previous prime is 3271. The next prime is 3299. The reversal of 3280 is 823.

3280 is nontrivially palindromic in base 3 and base 9.

It can be written as a sum of positive squares in 2 ways, for example, as 576 + 2704 = 24^2 + 52^2 .

It is a tau number, because it is divible by the number of its divisors (20).

3280 is a nontrivial repdigit in base 3 and base 9.

It is a plaindrome in base 3 and base 9.

It is a nialpdrome in base 3, base 8 and base 9.

It is a zygodrome in base 3 and base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 3280.

It is a congruent number.

It is an unprimeable number.

It is a nontrivial repunit in base 3.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60 + ... + 100.

23280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906).

3280 is an abundant number, since it is smaller than the sum of its proper divisors (4532).

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

3280 is a wasteful number, since it uses less digits than its factorization.

3280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 3280 is about 57.2712842531. The cubic root of 3280 is about 14.8579176829.

The spelling of 3280 in words is "three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280