Search a number
-
+
3290 = 25747
BaseRepresentation
bin110011011010
311111212
4303122
5101130
623122
712410
oct6332
94455
103290
112521
121aa2
131661
1412b0
15e95
hexcda

3290 has 16 divisors (see below), whose sum is σ = 6912. Its totient is φ = 1104.

The previous prime is 3271. The next prime is 3299. The reversal of 3290 is 923.

3290 = T13 + T14 + ... + T27.

It is a happy number.

3290 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a plaindrome in base 9.

It is a nialpdrome in base 8 and base 15.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47 + ... + 93.

It is an arithmetic number, because the mean of its divisors is an integer number (432).

3290 is the 47-th pentagonal number.

3290 is an abundant number, since it is smaller than the sum of its proper divisors (3622).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456).

3290 is a wasteful number, since it uses less digits than its factorization.

3290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 3290 is about 57.3585215988. The cubic root of 3290 is about 14.8730018736.

The spelling of 3290 in words is "three thousand, two hundred ninety".

Divisors: 1 2 5 7 10 14 35 47 70 94 235 329 470 658 1645 3290