38400

Names of 38400

• Cardinal: 38400 can be written as Thirty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 3.84 × 10⁴

Factors of 38400

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 10

Divisors of 38400

• Number of divisors d(n): 60
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1200 1280 1536 1600 1920 2400 2560 3200 3840 4800 6400 7680 9600 12800 19200 38400
• Sum of all divisors σ(n): 126852
• Sum of proper divisors (its aliquot sum) s(n): 88452
• 38400 is an abundant number, because the sum of its proper divisors (88452) is greater than itself. Its abundance is 50052

Bases of 38400

• Binary: 1001011000000000₂
• Hexadecimal: 0x9600
• Base-36: TMO

Squares and roots of 38400

• 38400 squared (38400²) is 1474560000
• 38400 cubed (38400³) is 56623104000000
• The square root of 38400 is 195.9591794227
• The cube root of 38400 is 33.7373066119

Scales and comparisons

• 38,400 seconds is equal to 10 hours, 40 minutes.
• To count from 1 to 38,400 would take you about ten hours.

  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 38400 cubic inches would be around 2.8 feet tall.

Recreational maths with 38400

• 38400 backwards is 00483
• 38400 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 38400's digits is 15
• More coming soon!