398400
398,400 is an even composite number composed of four prime numbers multiplied together.
398400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 398400:
26 × 3 × 52 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 83)See below for interesting mathematical facts about the number 398400 from the Numbermatics database.
Names of 398400
- Cardinal: 398400 can be written as Three hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 3.984 × 105
Factors of 398400
Divisors of 398400
- Number of divisors d(n): 84
-
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 83 96 100 120 150 160 166 192 200 240 249 300 320 332 400 415 480 498 600 664 800 830 960 996 1200 1245 1328 1600 1660 1992 2075 2400 2490 2656 3320 3984 4150 4800 4980 5312 6225 6640 7968 8300 9960 12450 13280 15936 16600 19920 24900 26560 33200 39840 49800 66400 79680 99600 132800 199200 398400
- Sum of all divisors σ(n): 1322832
- Sum of proper divisors (its aliquot sum) s(n): 924432
- 398400 is an abundant number, because the sum of its proper divisors (924432) is greater than itself. Its abundance is 526032
Bases of 398400
- Binary: 11000010100010000002
- Hexadecimal: 0x61440
- Base-36: 8JEO
Squares and roots of 398400
- 398400 squared (3984002) is 158722560000
- 398400 cubed (3984003) is 63235067904000000
-
The
square root of 398400 is 631.1893535223 -
The
cube root of 398400 is 73.5822578531
Scales and comparisons
How big is 398400?- 398,400 seconds is equal to 4 days, 14 hours, 40 minutes.
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To count from 1 to 398,400 would take you about four 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 398400 cubic inches would be around 6.1 feet tall.
Recreational maths with 398400
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The information we have on file for 398400 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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