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9338 = 272329
BaseRepresentation
bin10010001111010
3110210212
42101322
5244323
6111122
736140
oct22172
913725
109338
11701a
1254a2
134334
143590
152b78
hex247a

9338 has 16 divisors (see below), whose sum is σ = 17280. Its totient is φ = 3696.

The previous prime is 9337. The next prime is 9341. The reversal of 9338 is 8339.

9338 is nontrivially palindromic in base 13.

9338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a magnanimous number.

It is a plaindrome in base 6 and base 16.

It is a zygodrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9338.

It is not an unprimeable number, because it can be changed into a prime (9337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308 + ... + 336.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

29338 is an apocalyptic number.

9338 is a deficient number, since it is larger than the sum of its proper divisors (7942).

9338 is a wasteful number, since it uses less digits than its factorization.

9338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61.

The product of its digits is 648, while the sum is 23.

The square root of 9338 is about 96.6333275842. The cubic root of 9338 is about 21.0580404962.

9338 divided by its sum of digits (23) gives a triangular number (406 = T28).

Subtracting from 9338 its reverse (8339), we obtain a palindrome (999).

It can be divided in two parts, 93 and 38, that added together give a palindrome (131).

The spelling of 9338 in words is "nine thousand, three hundred thirty-eight".

Divisors: 1 2 7 14 23 29 46 58 161 203 322 406 667 1334 4669 9338