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3234 = 237211
BaseRepresentation
bin110010100010
311102210
4302202
5100414
622550
712300
oct6242
94383
103234
112480
121a56
13161a
141270
15e59
hexca2

3234 has 24 divisors (see below), whose sum is σ = 8208. Its totient is φ = 840.

The previous prime is 3229. The next prime is 3251. The reversal of 3234 is 4323.

3234 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a d-powerful number, because it can be written as 34 + 34 + 211 + 45 .

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

It is a Curzon number.

It is a nialpdrome in base 16.

It is an unprimeable number.

3234 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 (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 289 + ... + 299.

It is an arithmetic number, because the mean of its divisors is an integer number (342).

It is a practical number, because each smaller number is the sum of distinct divisors of 3234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104).

3234 is an abundant number, since it is smaller than the sum of its proper divisors (4974).

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

3234 is a wasteful number, since it uses less digits than its factorization.

3234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30 (or 23 counting only the distinct ones).

The product of its digits is 72, while the sum is 12.

The square root of 3234 is about 56.8682688325. The cubic root of 3234 is about 14.7881326830.

Adding to 3234 its reverse (4323), we get a palindrome (7557).

Subtracting 3234 from its reverse (4323), we obtain a square (1089 = 332).

It can be divided in two parts, 32 and 34, that added together give a palindrome (66).

The spelling of 3234 in words is "three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 3234