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12348 = 223273
BaseRepresentation
bin11000000111100
3121221100
43000330
5343343
6133100
751000
oct30074
917840
1012348
119306
127190
13580b
144700
1539d3
hex303c

12348 has 36 divisors (see below), whose sum is σ = 36400. Its totient is φ = 3528.

The previous prime is 12347. The next prime is 12373. The reversal of 12348 is 84321.

12348 divided by its sum of digits (18) gives a palindrome (686).

Adding to 12348 its reverse (84321), we get a palindrome (96669).

It can be divided in two parts, 123 and 48, that added together give a palindrome (171).

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12348 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

Its product of digits (192) is a multiple of the sum of its prime divisors (12).

It is a plaindrome in base 10.

It is a nialpdrome in base 7.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12348.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1761 + ... + 1767.

212348 is an apocalyptic number.

12348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18200).

12348 is an abundant number, since it is smaller than the sum of its proper divisors (24052).

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

12348 is a wasteful number, since it uses less digits than its factorization.

12348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 12 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 12348 is about 111.1215550647. The cubic root of 12348 is about 23.1134907423.

The spelling of 12348 in words is "twelve thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 3087 4116 6174 12348