Number of the day: 28347

Carl Friedrich Gauss was born on this day 242 years ago.

Claude Shannon was born on this day 103 years ago.

Properties of the number 28347:

28347 = 3 × 11 × 859 is a sphenic number and squarefree.
28347 has 3 distinct prime factors, 8 divisors, 31 antidivisors and 17160 totatives.
28347 = 14174² - 14173² = 4726² - 4723² = 1294² - 1283² = 446² - 413² is the difference of 2 nonnegative squares in 4 ways.
28347 is the sum of 2 positive triangular numbers.
28347 is the difference of 2 positive pentagonal numbers in 2 ways.
28347 = 13² + 17² + 167² is the sum of 3 positive squares.
28347² is the sum of 3 positive squares.
28347 is a proper divisor of 1979⁶ - 1.
28347 = '283' + '47' is the concatenation of 2 prime numbers.
28347 is palindromic in (at least) the following bases: 2, 32, 41, 67, 74, -34, and -65.
28347 in base 32 = rlr and consists of only the digits 'l' and 'r'.
28347 in base 41 = GZG and consists of only the digits 'G' and 'Z'.
28347 in base 59 = 88R and consists of only the digits '8' and 'R'.

The number 28347 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A023609: Convolution of Fibonacci numbers and composite numbers.
A047661: Row 5 of square array defined in A047662.
A066897: Total number of odd parts in all partitions of n.
A270694: Alternating sum of centered heptagonal pyramidal numbers.