320228440
320,228,440 is an even composite number composed of six prime numbers multiplied together.
320228440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 320228440:
23 × 5 × 7 × 29 × 113 × 349
(2 × 2 × 2 × 5 × 7 × 29 × 113 × 349)See below for interesting mathematical facts about the number 320228440 from the Numbermatics database.
Names of 320228440
- Cardinal: 320228440 can be written as Three hundred twenty million, two hundred twenty-eight thousand, four hundred forty.
Scientific notation
- Scientific notation: 3.2022844 × 108
Factors of 320228440
Divisors of 320228440
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 113 116 140 145 203 226 232 280 290 349 406 452 565 580 698 791 812 904 1015 1130 1160 1396 1582 1624 1745 2030 2260 2443 2792 3164 3277 3490 3955 4060 4520 4886 6328 6554 6980 7910 8120 9772 10121 12215 13108 13960 15820 16385 19544 20242 22939 24430 26216 31640 32770 39437 40484 45878 48860 50605 65540 70847 78874 80968 91756 97720 101210 114695 131080 141694 157748 183512 197185 202420 229390 276059 283388 315496 354235 394370 404840 458780 552118 566776 708470 788740 917560 1104236 1143673 1380295 1416940 1577480 2208472 2287346 2760590 2833880 4574692 5521180 5718365 8005711 9149384 11042360 11436730 16011422 22873460 32022844 40028555 45746920 64045688 80057110 160114220 320228440
- Sum of all divisors σ(n): 861840000
- Sum of proper divisors (its aliquot sum) s(n): 541611560
- 320228440 is an abundant number, because the sum of its proper divisors (541611560) is greater than itself. Its abundance is 221383120
Bases of 320228440
- Binary: 100110001011001001100010110002
- Hexadecimal: 0x13164C58
- Base-36: 5ANLUG
Squares and roots of 320228440
- 320228440 squared (3202284402) is 102546253784833600
- 320228440 cubed (3202284403) is 32838226877361359387584000
-
The
square root of 320228440 is 17894.9277729753 -
The
cube root of 320228440 is 684.1531011661
Scales and comparisons
How big is 320228440?- 320,228,440 seconds is equal to 10 years, 9 weeks, 3 days, 8 hours, 20 minutes, 40 seconds.
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To count from 1 to 320,228,440 would take you about fifteen 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 320228440 cubic inches would be around 57 feet tall.
Recreational maths with 320228440
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