385344000
385,344,000 is an even composite number composed of four prime numbers multiplied together.
385344000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 385344000:
29 × 33 × 53 × 223
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 223)See below for interesting mathematical facts about the number 385344000 from the Numbermatics database.
Names of 385344000
- Cardinal: 385344000 can be written as Three hundred eighty-five million, three hundred forty-four thousand.
Scientific notation
- Scientific notation: 3.85344 × 108
Factors of 385344000
Divisors of 385344000
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 125 128 135 144 150 160 180 192 200 216 223 225 240 250 256 270 288 300 320 360 375 384 400 432 446 450 480 500 512 540 576 600 640 669 675 720 750 768 800 864 892 900 960 1000 1080 1115 1125 1152 1200 1280 1338 1350 1440 1500 1536 1600 1728 1784 1800 1920 2000 2007 2160 2230 2250 2304 2400 2560 2676 2700 2880 3000 3200 3345 3375 3456 3568 3600 3840 4000 4014 4320 4460 4500 4608 4800 5352 5400 5575 5760 6000 6021 6400 6690 6750 6912 7136 7200 7680 8000 8028 8640 8920 9000 9600 10035 10704 10800 11150 11520 12000 12042 12800 13380 13500 13824 14272 14400 16000 16056 16725 17280 17840 18000 19200 20070 21408 21600 22300 23040 24000 24084 26760 27000 27875 28544 28800 30105 32000 32112 33450 34560 35680 36000 38400 40140 42816 43200 44600 48000 48168 50175 53520 54000 55750 57088 57600 60210 64000 64224 66900 69120 71360 72000 80280 83625 85632 86400 89200 96000 96336 100350 107040 108000 111500 114176 115200 120420 128448 133800 142720 144000 150525 160560 167250 171264 172800 178400 192000 192672 200700 214080 216000 223000 240840 250875 256896 267600 285440 288000 301050 321120 334500 342528 345600 356800 385344 401400 428160 432000 446000 481680 501750 513792 535200 570880 576000 602100 642240 669000 713600 752625 770688 802800 856320 864000 892000 963360 1003500 1027584 1070400 1204200 1284480 1338000 1427200 1505250 1541376 1605600 1712640 1728000 1784000 1926720 2007000 2140800 2408400 2568960 2676000 2854400 3010500 3082752 3211200 3568000 3853440 4014000 4281600 4816800 5137920 5352000 6021000 6422400 7136000 7706880 8028000 8563200 9633600 10704000 12042000 12844800 14272000 15413760 16056000 19267200 21408000 24084000 25689600 32112000 38534400 42816000 48168000 64224000 77068800 96336000 128448000 192672000 385344000
- Sum of all divisors σ(n): 1429908480
- Sum of proper divisors (its aliquot sum) s(n): 1044564480
- 385344000 is an abundant number, because the sum of its proper divisors (1044564480) is greater than itself. Its abundance is 659220480
Bases of 385344000
- Binary: 101101111011111100010000000002
- Hexadecimal: 0x16F7E200
- Base-36: 6DF9C0
Squares and roots of 385344000
- 385344000 squared (3853440002) is 148489998336000000
- 385344000 cubed (3853440003) is 57219729918787584000000000
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The
square root of 385344000 is 19630.1808448115 -
The
cube root of 385344000 is 727.6952393409
Scales and comparisons
How big is 385344000?- 385,344,000 seconds is equal to 12 years, 13 weeks, 1 day.
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To count from 1 to 385,344,000 would take you about eighteen years!
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 385344000 cubic inches would be around 60.6 feet tall.
Recreational maths with 385344000
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