Number of the day: 163404

Leonhard Euler was born on this day 311 years ago.

Properties of the number 163404:

163404 = 2² × 3³ × 17 × 89 is the 148438^th composite number and is not squarefree.
163404 has 4 distinct prime factors, 48 divisors, 23 antidivisors and 50688 totatives.
163404 = 40852² - 40850² = 13620² - 13614² = 4548² - 4530² = 2420² - 2386² = 1540² - 1486² = 852² - 750² = 548² - 370² = 420² - 114² is the difference of 2 nonnegative squares in 8 ways.
163404 is the sum of 2 positive triangular numbers.
163404 is the difference of 2 positive pentagonal numbers in 1 way.
163404 = 38² + 82² + 394² is the sum of 3 positive squares.
163404² = 76896² + 144180² = 5940² + 163296² = 95904² + 132300² = 71604² + 146880² is the sum of 2 positive squares in 4 ways.
163404² is the sum of 3 positive squares.
163404 is a proper divisor of 433⁸ - 1.
163404 is palindromic in (at least) the following bases: 55, 56, 73, -55, -71, and -84.
163404 in base 6 = 3300300 and consists of only the digits '0' and '3'.
163404 in base 55 = s0s and consists of only the digits '0' and 's'.
163404 in base 56 = q5q and consists of only the digits '5' and 'q'.

The number 163404 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A034959: Divide even numbers into groups with prime(n) elements and add together.