390228800
390,228,800 is an even composite number composed of five prime numbers multiplied together.
390228800 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 390228800:
26 × 52 × 13 × 73 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 73 × 257)See below for interesting mathematical facts about the number 390228800 from the Numbermatics database.
Names of 390228800
- Cardinal: 390228800 can be written as Three hundred ninety million, two hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 3.902288 × 108
Factors of 390228800
Divisors of 390228800
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 73 80 100 104 130 146 160 200 208 257 260 292 320 325 365 400 416 514 520 584 650 730 800 832 949 1028 1040 1168 1285 1300 1460 1600 1825 1898 2056 2080 2336 2570 2600 2920 3341 3650 3796 4112 4160 4672 4745 5140 5200 5840 6425 6682 7300 7592 8224 9490 10280 10400 11680 12850 13364 14600 15184 16448 16705 18761 18980 20560 20800 23360 23725 25700 26728 29200 30368 33410 37522 37960 41120 47450 51400 53456 58400 60736 66820 75044 75920 82240 83525 93805 94900 102800 106912 116800 133640 150088 151840 167050 187610 189800 205600 213824 243893 267280 300176 303680 334100 375220 379600 411200 469025 487786 534560 600352 668200 750440 759200 938050 975572 1069120 1200704 1219465 1336400 1500880 1518400 1876100 1951144 2438930 2672800 3001760 3752200 3902288 4877860 5345600 6003520 6097325 7504400 7804576 9755720 12194650 15008800 15609152 19511440 24389300 30017600 39022880 48778600 78045760 97557200 195114400 390228800
- Sum of all divisors σ(n): 1052312856
- Sum of proper divisors (its aliquot sum) s(n): 662084056
- 390228800 is an abundant number, because the sum of its proper divisors (662084056) is greater than itself. Its abundance is 271855256
Bases of 390228800
- Binary: 101110100001001101011010000002
- Hexadecimal: 0x17426B40
- Base-36: 6GBYGW
Squares and roots of 390228800
- 390228800 squared (3902288002) is 152278516349440000
- 390228800 cubed (3902288003) is 59423462700822351872000000
-
The
square root of 390228800 is 19754.2096779395 -
The
cube root of 390228800 is 730.7572051719
Scales and comparisons
How big is 390228800?- 390,228,800 seconds is equal to 12 years, 21 weeks, 1 day, 12 hours, 53 minutes, 20 seconds.
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To count from 1 to 390,228,800 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 390228800 cubic inches would be around 60.9 feet tall.
Recreational maths with 390228800
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