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3324 = 223277
BaseRepresentation
bin110011111100
311120010
4303330
5101244
623220
712456
oct6374
94503
103324
112552
121b10
131689
1412d6
15eb9
hexcfc

3324 has 12 divisors (see below), whose sum is σ = 7784. Its totient is φ = 1104.

The previous prime is 3323. The next prime is 3329. The reversal of 3324 is 4233.

3324 is nontrivially palindromic in base 11 and base 16.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×33242 = 22097952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 277 = 3324 / (3 + 3 + 2 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 32 + 211 + 35 + 45 .

3324 is an undulating number in base 16.

It is a plaindrome in base 7 and base 13.

It is a nialpdrome in base 15.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3324.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127 + ... + 150.

23324 is an apocalyptic number.

It is an amenable number.

3324 is an abundant number, since it is smaller than the sum of its proper divisors (4460).

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 (3892).

3324 is a wasteful number, since it uses less digits than its factorization.

3324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 282 counting only the distinct ones).

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

The square root of 3324 is about 57.6541412216. The cubic root of 3324 is about 14.9240606408.

Adding to 3324 its reverse (4233), we get a palindrome (7557).

Subtracting 3324 from its reverse (4233), we obtain a palindrome (909).

The spelling of 3324 in words is "three thousand, three hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 277 554 831 1108 1662 3324