328730400
328,730,400 is an even composite number composed of five prime numbers multiplied together.
328730400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 328730400:
25 × 35 × 52 × 19 × 89
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 19 × 89)See below for interesting mathematical facts about the number 328730400 from the Numbermatics database.
Names of 328730400
- Cardinal: 328730400 can be written as Three hundred twenty-eight million, seven hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 3.287304 × 108
Factors of 328730400
Divisors of 328730400
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 72 75 76 80 81 89 90 95 96 100 108 114 120 135 144 150 152 160 162 171 178 180 190 200 216 225 228 240 243 267 270 285 288 300 304 324 342 356 360 380 400 405 432 445 450 456 475 480 486 513 534 540 570 600 608 648 675 684 712 720 760 800 801 810 855 864 890 900 912 950 972 1026 1068 1080 1140 1200 1215 1296 1335 1350 1368 1424 1425 1440 1520 1539 1602 1620 1691 1710 1780 1800 1824 1900 1944 2025 2052 2136 2160 2225 2280 2400 2403 2430 2565 2592 2670 2700 2736 2848 2850 3040 3078 3204 3240 3382 3420 3560 3600 3800 3888 4005 4050 4104 4272 4275 4320 4450 4560 4617 4806 4860 5073 5130 5340 5400 5472 5700 6075 6156 6408 6480 6675 6764 6840 7120 7200 7209 7600 7695 7776 8010 8100 8208 8455 8544 8550 8900 9120 9234 9612 9720 10146 10260 10680 10800 11400 12015 12150 12312 12816 12825 12960 13350 13528 13680 14240 14418 15200 15219 15390 16020 16200 16416 16910 17100 17800 18468 19224 19440 20025 20292 20520 21360 21600 21627 22800 23085 24030 24300 24624 25365 25632 25650 26700 27056 27360 28836 30438 30780 32040 32400 33820 34200 35600 36045 36936 38448 38475 38880 40050 40584 41040 42275 42720 43254 45600 45657 46170 48060 48600 49248 50730 51300 53400 54112 57672 60075 60876 61560 64080 64800 67640 68400 71200 72090 73872 76095 76896 76950 80100 81168 82080 84550 86508 91314 92340 96120 97200 101460 102600 106800 108135 115344 115425 120150 121752 123120 126825 128160 135280 136800 136971 144180 147744 152190 153900 160200 162336 169100 173016 180225 182628 184680 192240 194400 202920 205200 213600 216270 228285 230688 230850 240300 243504 246240 253650 270560 273942 288360 304380 307800 320400 338200 346032 360450 365256 369360 380475 384480 405840 410400 410913 432540 456570 461700 480600 487008 507300 540675 547884 576720 608760 615600 640800 676400 684855 692064 720900 730512 738720 760950 811680 821826 865080 913140 923400 961200 1014600 1081350 1095768 1141425 1153440 1217520 1231200 1352800 1369710 1441800 1461024 1521900 1643652 1730160 1826280 1846800 1922400 2029200 2054565 2162700 2191536 2282850 2435040 2739420 2883600 3043800 3287304 3424275 3460320 3652560 3693600 4058400 4109130 4325400 4383072 4565700 5478840 5767200 6087600 6574608 6848550 7305120 8218260 8650800 9131400 10272825 10957680 12175200 13149216 13697100 16436520 17301600 18262800 20545650 21915360 27394200 32873040 36525600 41091300 54788400 65746080 82182600 109576800 164365200 328730400
- Sum of all divisors σ(n): 1279605600
- Sum of proper divisors (its aliquot sum) s(n): 950875200
- 328730400 is an abundant number, because the sum of its proper divisors (950875200) is greater than itself. Its abundance is 622144800
Bases of 328730400
- Binary: 100111001100000000111001000002
- Hexadecimal: 0x13980720
- Base-36: 5FPU00
Squares and roots of 328730400
- 328730400 squared (3287304002) is 108063675884160000
- 328730400 cubed (3287304003) is 35523815398870270464000000
-
The
square root of 328730400 is 18130.9238595279 -
The
cube root of 328730400 is 690.1549746417
Scales and comparisons
How big is 328730400?- 328,730,400 seconds is equal to 10 years, 23 weeks, 3 days, 18 hours.
-
To count from 1 to 328,730,400 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 328730400 cubic inches would be around 57.5 feet tall.
Recreational maths with 328730400
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