328876800
328,876,800 is an even composite number composed of five prime numbers multiplied together.
328876800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 328876800:
28 × 3 × 52 × 7 × 2447
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 2447)See below for interesting mathematical facts about the number 328876800 from the Numbermatics database.
Names of 328876800
- Cardinal: 328876800 can be written as Three hundred twenty-eight million, eight hundred seventy-six thousand, eight hundred.
Scientific notation
- Scientific notation: 3.288768 × 108
Factors of 328876800
Divisors of 328876800
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 128 140 150 160 168 175 192 200 210 224 240 256 280 300 320 336 350 384 400 420 448 480 525 560 600 640 672 700 768 800 840 896 960 1050 1120 1200 1280 1344 1400 1600 1680 1792 1920 2100 2240 2400 2447 2688 2800 3200 3360 3840 4200 4480 4800 4894 5376 5600 6400 6720 7341 8400 8960 9600 9788 11200 12235 13440 14682 16800 17129 19200 19576 22400 24470 26880 29364 33600 34258 36705 39152 44800 48940 51387 58728 61175 67200 68516 73410 78304 85645 97880 102774 117456 122350 134400 137032 146820 156608 171290 183525 195760 205548 234912 244700 256935 274064 293640 313216 342580 367050 391520 411096 428225 469824 489400 513870 548128 587280 626432 685160 734100 783040 822192 856450 939648 978800 1027740 1096256 1174560 1284675 1370320 1468200 1566080 1644384 1712900 1879296 1957600 2055480 2192512 2349120 2569350 2740640 2936400 3132160 3288768 3425800 3915200 4110960 4385024 4698240 5138700 5481280 5872800 6577536 6851600 7830400 8221920 9396480 10277400 10962560 11745600 13155072 13703200 15660800 16443840 20554800 21925120 23491200 27406400 32887680 41109600 46982400 54812800 65775360 82219200 109625600 164438400 328876800
- Sum of all divisors σ(n): 1240920576
- Sum of proper divisors (its aliquot sum) s(n): 912043776
- 328876800 is an abundant number, because the sum of its proper divisors (912043776) is greater than itself. Its abundance is 583166976
Bases of 328876800
- Binary: 100111001101001000011000000002
- Hexadecimal: 0x139A4300
- Base-36: 5FSYYO
Squares and roots of 328876800
- 328876800 squared (3288768002) is 108159949578240000
- 328876800 cubed (3288768003) is 35571298105452920832000000
-
The
square root of 328876800 is 18134.9607112891 -
The
cube root of 328876800 is 690.2574128837
Scales and comparisons
How big is 328876800?- 328,876,800 seconds is equal to 10 years, 23 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 328,876,800 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 328876800 cubic inches would be around 57.5 feet tall.
Recreational maths with 328876800
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