Friday, June 29, 2018

Number of the day: 33788

Properties of the number 33788:

33788 = 22 × 8447 is the 30169th composite number and is not squarefree.
33788 has 2 distinct prime factors, 6 divisors, 23 antidivisors and 16892 totatives.
33788 has a prime digit sum 29 in base 10.
33788 has an oblong digit product 4032 in base 10.
Reversing the decimal digits of 33788 results in a semiprime.
33788 = 84482 - 84462 is the difference of 2 nonnegative squares in 1 way.
33788 is the sum of 2 positive triangular numbers.
33788 is the difference of 2 positive pentagonal numbers in 1 way.
33788 is not the sum of 3 positive squares.
337882 is the sum of 3 positive squares.
33788 is a proper divisor of 178941 - 1.
33788 is palindromic in (at least) base -42.
33788 in base 41 = K44 and consists of only the digits '4' and 'K'.

The number 33788 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A204479: Number of (n+2)X6 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order
A204482: Number of (n+2)X9 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order

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