3422400
3,422,400 is an even composite number composed of five prime numbers multiplied together.
3422400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 3422400:
26 × 3 × 52 × 23 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 31)See below for interesting mathematical facts about the number 3422400 from the Numbermatics database.
Names of 3422400
- Cardinal: 3422400 can be written as Three million, four hundred twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 3.4224 × 106
Factors of 3422400
Divisors of 3422400
- Number of divisors d(n): 168
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 31 32 40 46 48 50 60 62 64 69 75 80 92 93 96 100 115 120 124 138 150 155 160 184 186 192 200 230 240 248 276 300 310 320 345 368 372 400 460 465 480 496 552 575 600 620 690 713 736 744 775 800 920 930 960 992 1104 1150 1200 1240 1380 1426 1472 1488 1550 1600 1725 1840 1860 1984 2139 2208 2300 2325 2400 2480 2760 2852 2976 3100 3450 3565 3680 3720 4278 4416 4600 4650 4800 4960 5520 5704 5952 6200 6900 7130 7360 7440 8556 9200 9300 9920 10695 11040 11408 12400 13800 14260 14880 17112 17825 18400 18600 21390 22080 22816 24800 27600 28520 29760 34224 35650 36800 37200 42780 45632 49600 53475 55200 57040 68448 71300 74400 85560 106950 110400 114080 136896 142600 148800 171120 213900 228160 285200 342240 427800 570400 684480 855600 1140800 1711200 3422400
- Sum of all divisors σ(n): 12094464
- Sum of proper divisors (its aliquot sum) s(n): 8672064
- 3422400 is an abundant number, because the sum of its proper divisors (8672064) is greater than itself. Its abundance is 5249664
Bases of 3422400
- Binary: 11010000111000110000002
- Hexadecimal: 0x3438C0
- Base-36: 21CQO
Squares and roots of 3422400
- 3422400 squared (34224002) is 11712821760000
- 3422400 cubed (34224003) is 40085961191424000000
-
The
square root of 3422400 is 1849.9729727755 -
The
cube root of 3422400 is 150.6989601945
Scales and comparisons
How big is 3422400?- 3,422,400 seconds is equal to 5 weeks, 4 days, 14 hours, 40 minutes.
-
To count from 1 to 3,422,400 would take you about eight weeks!
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 3422400 cubic inches would be around 12.6 feet tall.
Recreational maths with 3422400
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The information we have on file for 3422400 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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