385664000
385,664,000 is an even composite number composed of four prime numbers multiplied together.
385664000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred seventy-six divisors.
Prime factorization of 385664000:
210 × 53 × 23 × 131
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 23 × 131)See below for interesting mathematical facts about the number 385664000 from the Numbermatics database.
Names of 385664000
- Cardinal: 385664000 can be written as Three hundred eighty-five million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 3.85664 × 108
Factors of 385664000
Divisors of 385664000
- Number of divisors d(n): 176
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Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 128 131 160 184 200 230 250 256 262 320 368 400 460 500 512 524 575 640 655 736 800 920 1000 1024 1048 1150 1280 1310 1472 1600 1840 2000 2096 2300 2560 2620 2875 2944 3013 3200 3275 3680 4000 4192 4600 5120 5240 5750 5888 6026 6400 6550 7360 8000 8384 9200 10480 11500 11776 12052 12800 13100 14720 15065 16000 16375 16768 18400 20960 23000 23552 24104 25600 26200 29440 30130 32000 32750 33536 36800 41920 46000 48208 52400 58880 60260 64000 65500 67072 73600 75325 83840 92000 96416 104800 117760 120520 128000 131000 134144 147200 150650 167680 184000 192832 209600 241040 262000 294400 301300 335360 368000 376625 385664 419200 482080 524000 588800 602600 670720 736000 753250 771328 838400 964160 1048000 1205200 1472000 1506500 1542656 1676800 1928320 2096000 2410400 2944000 3013000 3085312 3353600 3856640 4192000 4820800 6026000 7713280 8384000 9641600 12052000 15426560 16768000 19283200 24104000 38566400 48208000 77132800 96416000 192832000 385664000
- Sum of all divisors σ(n): 1011643776
- Sum of proper divisors (its aliquot sum) s(n): 625979776
- 385664000 is an abundant number, because the sum of its proper divisors (625979776) is greater than itself. Its abundance is 240315776
Bases of 385664000
- Binary: 101101111110011000100000000002
- Hexadecimal: 0x16FCC400
- Base-36: 6DM48W
Squares and roots of 385664000
- 385664000 squared (3856640002) is 148736720896000000
- 385664000 cubed (3856640003) is 57362398727634944000000000
-
The
square root of 385664000 is 19638.3298678885 -
The
cube root of 385664000 is 727.8966161607
Scales and comparisons
How big is 385664000?- 385,664,000 seconds is equal to 12 years, 13 weeks, 4 days, 16 hours, 53 minutes, 20 seconds.
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To count from 1 to 385,664,000 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 385664000 cubic inches would be around 60.7 feet tall.
Recreational maths with 385664000
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