1038

Names of 1038

• Cardinal: 1038 can be written as One thousand and thirty-eight.

Scientific notation

• Scientific notation: 1.038 × 10³

Factors of 1038

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 178

Divisors of 1038

• Number of divisors d(n): 8
• Complete list of divisors:
  1 2 3 6 173 346 519 1038
• Sum of all divisors σ(n): 2088
• Sum of proper divisors (its aliquot sum) s(n): 1050
• 1038 is an abundant number, because the sum of its proper divisors (1050) is greater than itself. Its abundance is 12

Bases of 1038

• Binary: 10000001110₂
• Hexadecimal: 0x40E
• Base-36: SU

Squares and roots of 1038

• 1038 squared (1038²) is 1077444
• 1038 cubed (1038³) is 1118386872
• The square root of 1038 is 32.2180073871
• The cube root of 1038 is 10.1250952589

Scales and comparisons

• 1,038 seconds is equal to 17 minutes, 18 seconds.
• To count from 1 to 1,038 would take you about seventeen 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 1038 cubic inches would be around 0.8 feet tall.

Recreational maths with 1038

• 1038 backwards is 8301
• The number of decimal digits it has is: 4
• The sum of 1038's digits is 12
• More coming soon!