345968000
345,968,000 is an even composite number composed of four prime numbers multiplied together.
345968000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 345968000:
27 × 53 × 7 × 3089
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 3089)See below for interesting mathematical facts about the number 345968000 from the Numbermatics database.
Names of 345968000
- Cardinal: 345968000 can be written as Three hundred forty-five million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 3.45968 × 108
Factors of 345968000
Divisors of 345968000
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1400 1600 1750 2000 2240 2800 3089 3200 3500 4000 4480 5600 6178 7000 8000 11200 12356 14000 15445 16000 21623 22400 24712 28000 30890 43246 49424 56000 61780 77225 86492 98848 108115 112000 123560 154450 172984 197696 216230 247120 308900 345968 386125 395392 432460 494240 540575 617800 691936 772250 864920 988480 1081150 1235600 1383872 1544500 1729840 1976960 2162300 2471200 2702875 2767744 3089000 3459680 4324600 4942400 5405750 6178000 6919360 8649200 9884800 10811500 12356000 13838720 17298400 21623000 24712000 34596800 43246000 49424000 69193600 86492000 172984000 345968000
- Sum of all divisors σ(n): 983361600
- Sum of proper divisors (its aliquot sum) s(n): 637393600
- 345968000 is an abundant number, because the sum of its proper divisors (637393600) is greater than itself. Its abundance is 291425600
Bases of 345968000
- Binary: 101001001111100001101100000002
- Hexadecimal: 0x149F0D80
- Base-36: 5PZAM8
Squares and roots of 345968000
- 345968000 squared (3459680002) is 119693857024000000
- 345968000 cubed (3459680003) is 41410244326879232000000000
-
The
square root of 345968000 is 18600.2150525203 -
The
cube root of 345968000 is 702.0132518067
Scales and comparisons
How big is 345968000?- 345,968,000 seconds is equal to 11 years, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 345,968,000 would take you about sixteen 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 345968000 cubic inches would be around 58.5 feet tall.
Recreational maths with 345968000
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