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3318 = 23779

3318 has 16 divisors (see below), whose sum is σ = 7680. Its totient is φ = 936.

The previous prime is 3313. The next prime is 3319. The reversal of 3318 is 8133.

3318 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×33182 = 22018248, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 3297 and 3306.

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 3318.

It is not an unprimeable number, because it can be changed into a prime (3313) by changing a digit.

3318 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3 + ... + 81.

It is an arithmetic number, because the mean of its divisors is an integer number (480).

23318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840).

3318 is an abundant number, since it is smaller than the sum of its proper divisors (4362).

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

3318 is a wasteful number, since it uses less digits than its factorization.

3318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91.

The product of its digits is 72, while the sum is 15.

The square root of 3318 is about 57.6020832957. The cubic root of 3318 is about 14.9150756533.

Adding to 3318 its sum of digits (15), we get a palindrome (3333).

Multiplying 3318 by its sum of digits (15), we get a triangular number (49770 = T315).

The spelling of 3318 in words is "three thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 14 21 42 79 158 237 474 553 1106 1659 3318