315

Names of 315

• Cardinal: 315 can be written as Three hundred fifteen.

Scientific notation

• Scientific notation: 3.15 × 10²

Factors of 315

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 15

Divisors of 315

• Number of divisors d(n): 12
• Complete list of divisors:
  1 3 5 7 9 15 21 35 45 63 105 315
• Sum of all divisors σ(n): 624
• Sum of proper divisors (its aliquot sum) s(n): 309
• 315 is a deficient number, because the sum of its proper divisors (309) is less than itself. Its deficiency is 6

Bases of 315

• Binary: 100111011₂
• Hexadecimal: 0x13B
• Base-36: 8R

Squares and roots of 315

• 315 squared (315²) is 99225
• 315 cubed (315³) is 31255875
• The square root of 315 is 17.7482393493
• The cube root of 315 is 6.8040921159

Scales and comparisons

• 315 seconds is equal to 5 minutes, 15 seconds.
• To count from 1 to 315 would take you about two minutes.

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 315 cubic inches would be around 0.6 feet tall.

Recreational maths with 315

• 315 backwards is 513
• 315 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 315's digits is 9
• More coming soon!