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3332 = 227217
BaseRepresentation
bin110100000100
311120102
4310010
5101312
623232
712500
oct6404
94512
103332
11255a
121b18
131694
141300
15ec2
hexd04

3332 has 18 divisors (see below), whose sum is σ = 7182. Its totient is φ = 1344.

The previous prime is 3331. The next prime is 3343. The reversal of 3332 is 2333.

Subtracting from 3332 its sum of digits (11), we obtain a triangular number (3321 = T81).

Adding to 3332 its reverse (2333), we get a palindrome (5665).

Subtracting from 3332 its reverse (2333), we obtain a palindrome (999).

It can be divided in two parts, 333 and 2, that multiplied together give a palindrome (666).

It is a happy number.

3332 is nontrivially palindromic in base 6.

3332 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 3136 + 196 = 56^2 + 14^2 .

It is a super-2 number, since 2×33322 = 22204448, which contains 22 as substring.

3332 is an undulating number in base 6.

It is a plaindrome in base 11.

It is a nialpdrome in base 10 and base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3332.

It is not an unprimeable number, because it can be changed into a prime (3331) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 188 + ... + 204.

It is an arithmetic number, because the mean of its divisors is an integer number (399).

23332 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 3332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591).

3332 is an abundant number, since it is smaller than the sum of its proper divisors (3850).

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

3332 is a wasteful number, since it uses less digits than its factorization.

3332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 26 counting only the distinct ones).

The product of its digits is 54, while the sum is 11.

The square root of 3332 is about 57.7234787586. The cubic root of 3332 is about 14.9360238208.

The spelling of 3332 in words is "three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1666 3332