Number Gossip

(Enter a number and I'll tell you everything you wanted to know about it but were afraid to ask.)

Unique Properties of 432

  • An equilateral triangle whose area and perimeter are equal, has an area (and perimeter) equal to the square root of 432
  • 432 is the smallest number n such that n! is not divisible by the sum of the digits of n!
  • 432 is the smallest sum of consecutive cubes that is sandwiched between twin primes
  • 432 is the Achilles number whose double is also an Achilles number (Achilles numbers are powerful but not powers)
  • 432 is the smallest number such that, in its prime factorization, the product of the exponents equals the sum of the prime factors and exponents

Common Properties of 432