230400
230,400 is an even composite number composed of three prime numbers multiplied together.
230400 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of ninety-nine divisors.
Prime factorization of 230400:
210 × 32 × 52
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5)See below for interesting mathematical facts about the number 230400 from the Numbermatics database.
Names of 230400
- Cardinal: 230400 can be written as Two hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 2.304 × 105
Factors of 230400
Divisors of 230400
- Number of divisors d(n): 99
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 256 288 300 320 360 384 400 450 480 512 576 600 640 720 768 800 900 960 1024 1152 1200 1280 1440 1536 1600 1800 1920 2304 2400 2560 2880 3072 3200 3600 3840 4608 4800 5120 5760 6400 7200 7680 9216 9600 11520 12800 14400 15360 19200 23040 25600 28800 38400 46080 57600 76800 115200 230400
- Sum of all divisors σ(n): 824941
- Sum of proper divisors (its aliquot sum) s(n): 594541
- 230400 is an abundant number, because the sum of its proper divisors (594541) is greater than itself. Its abundance is 364141
Bases of 230400
- Binary: 1110000100000000002
- Hexadecimal: 0x38400
- Base-36: 4XS0
Squares and roots of 230400
- 230400 squared (2304002) is 53084160000
- 230400 cubed (2304003) is 12230590464000000
-
230400 is a
perfect square number . Itssquare root is 480 -
The
cube root of 230400 is 61.3047545915
Scales and comparisons
How big is 230400?- 230,400 seconds is equal to 2 days, 16 hours.
-
To count from 1 to 230,400 would take you about two days.
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 230400 cubic inches would be around 5.1 feet tall.
Recreational maths with 230400
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The information we have on file for 230400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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