### Properties of the number 4353:

4353 = 3 × 1451 is semiprime and squarefree.4353 has 2 distinct prime factors, 4 divisors, 5 antidivisors and 2900 totatives.

4353 has an emirpimes digit sum 15 in base 10.

4353 has a triangular digit sum 15 in base 10.

4353 = 2177

^{2}- 2176

^{2}= 727

^{2}- 724

^{2}is the difference of 2 nonnegative squares in 2 ways.

4353 is the difference of 2 positive pentagonal numbers in 1 way.

4353 = 1

^{2}+ 16

^{2}+ 64

^{2}is the sum of 3 positive squares.

4353

^{2}is the sum of 3 positive squares.

4353 is a divisor of 1021

^{5}- 1.

4353 = '43' + '53' is the concatenation of 2 prime numbers.

4353 = '435' + '3' is the concatenation of 2 triangular numbers.

4353 is an emirpimes in (at least) the following bases: 17, 19, 25, 28, 33, 35, 36, 37, 39, 43, 45, 51, 54, 60, 62, 63, 65, 66, 71, 79, and 84.

4353 is palindromic in (at least) the following bases: 8, 64, -8, -27, and -68.

4353 in base 4 = 1010001 and consists of only the digits '0' and '1'.

4353 in base 16 = 1101 and consists of only the digits '0' and '1'.

4353 in base 17 = f11 and consists of only the digits '1' and 'f'.

4353 in base 26 = 6bb and consists of only the digits '6' and 'b'.

4353 in base 29 = 553 and consists of only the digits '3' and '5'.

4353 in base 46 = 22T and consists of only the digits '2' and 'T'.

### The number 4353 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.A005744: G.f.: x*(1+x-x^2)/((1-x)^4*(1+x)).

A029705: Squarefree n such that Q(sqrt(n)) has class number 5.

A033052: a(1) = 1, a(2n) = 16a(n), a(2n+1) = a(2n)+1.

A033679: a(1) = 2; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.

A114166: Numbers n such that p(5n) is prime, where p(n) is the number of partitions of n.

A135110: Positive numbers such that the digital sum base 2 and the digital sum base 10 are in a ratio of 2:10.

A186651: Total number of positive integers below 10^n requiring 3 positive biquadrates in their representation as sum of biquadrates.

A195146: Concentric 16-gonal numbers.

A254204: T(n,k)=Number of length n 1..(k+2) arrays with no leading or trailing partial sum equal to a prime

A269494: T(n,k)=Number of length-n 0..k arrays with no repeated value differing from the previous repeated value by one.

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