Wednesday, February 21, 2018

Number of the day: 73348

Properties of the number 73348:

73348 = 22 × 11 × 1667 is the 66104th composite number and is not squarefree.
73348 has 3 distinct prime factors, 12 divisors, 11 antidivisors and 33320 totatives.
73348 has a semiprime digit sum 25 in base 10.
73348 has a triangular digit product 2016 in base 10.
73348 = 183382 - 183362 = 16782 - 16562 is the difference of 2 nonnegative squares in 2 ways.
73348 is the difference of 2 positive pentagonal numbers in 2 ways.
73348 = 1042 + 1262 + 2162 is the sum of 3 positive squares.
733482 is the sum of 3 positive squares.
73348 is a proper divisor of 26334 - 1.
73348 is palindromic in (at least) the following bases: 95, -52, and -74.
73348 in base 51 = SAA and consists of only the digits 'A' and 'S'.

The number 73348 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A269652: Number of length-n 0..4 arrays with no adjacent pair x,x+1 repeated.
A269656: T(n,k)=Number of length-n 0..k arrays with no adjacent pair x,x+1 repeated.
A269660: Number of length-7 0..n arrays with no adjacent pair x,x+1 repeated.

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