328838400
328,838,400 is an even composite number composed of five prime numbers multiplied together.
328838400 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 328838400:
28 × 33 × 52 × 11 × 173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 173)See below for interesting mathematical facts about the number 328838400 from the Numbermatics database.
Names of 328838400
- Cardinal: 328838400 can be written as Three hundred twenty-eight million, eight hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 3.288384 × 108
Factors of 328838400
Divisors of 328838400
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 88 90 96 99 100 108 110 120 128 132 135 144 150 160 165 173 176 180 192 198 200 216 220 225 240 256 264 270 275 288 297 300 320 330 346 352 360 384 396 400 432 440 450 480 495 519 528 540 550 576 594 600 640 660 675 692 704 720 768 792 800 825 864 865 880 900 960 990 1038 1056 1080 1100 1152 1188 1200 1280 1320 1350 1384 1408 1440 1485 1557 1584 1600 1650 1728 1730 1760 1800 1903 1920 1980 2076 2112 2160 2200 2304 2376 2400 2475 2595 2640 2700 2768 2816 2880 2970 3114 3168 3200 3300 3456 3460 3520 3600 3806 3840 3960 4152 4224 4320 4325 4400 4671 4752 4800 4950 5190 5280 5400 5536 5709 5760 5940 6228 6336 6400 6600 6912 6920 7040 7200 7425 7612 7785 7920 8304 8448 8640 8650 8800 9342 9504 9515 9600 9900 10380 10560 10800 11072 11418 11520 11880 12456 12672 12975 13200 13840 14080 14400 14850 15224 15570 15840 16608 17127 17280 17300 17600 18684 19008 19030 19200 19800 20760 21120 21600 22144 22836 23355 23760 24912 25344 25950 26400 27680 28545 28800 29700 30448 31140 31680 33216 34254 34560 34600 35200 37368 38016 38060 38925 39600 41520 42240 43200 44288 45672 46710 47520 47575 49824 51381 51900 52800 55360 57090 57600 59400 60896 62280 63360 66432 68508 69200 70400 74736 76032 76120 77850 79200 83040 85635 86400 91344 93420 95040 95150 99648 102762 103800 105600 110720 114180 116775 118800 121792 124560 126720 132864 137016 138400 142725 149472 152240 155700 158400 166080 171270 172800 182688 186840 190080 190300 199296 205524 207600 211200 221440 228360 233550 237600 243584 249120 256905 274032 276800 285450 298944 304480 311400 316800 332160 342540 365376 373680 380160 380600 398592 411048 415200 428175 456720 467100 475200 487168 498240 513810 548064 553600 570900 597888 608960 622800 633600 664320 685080 730752 747360 761200 822096 830400 856350 913440 934200 950400 996480 1027620 1096128 1107200 1141800 1195776 1217920 1245600 1284525 1370160 1461504 1494720 1522400 1644192 1660800 1712700 1826880 1868400 1900800 1992960 2055240 2192256 2283600 2435840 2491200 2569050 2740320 2989440 3044800 3288384 3321600 3425400 3653760 3736800 4110480 4384512 4567200 4982400 5138100 5480640 5978880 6089600 6576768 6850800 7307520 7473600 8220960 9134400 9964800 10276200 10961280 12179200 13153536 13701600 14947200 16441920 18268800 20552400 21922560 27403200 29894400 32883840 36537600 41104800 54806400 65767680 82209600 109612800 164419200 328838400
- Sum of all divisors σ(n): 1323040320
- Sum of proper divisors (its aliquot sum) s(n): 994201920
- 328838400 is an abundant number, because the sum of its proper divisors (994201920) is greater than itself. Its abundance is 665363520
Bases of 328838400
- Binary: 100111001100110101101000000002
- Hexadecimal: 0x1399AD00
- Base-36: 5FS5C0
Squares and roots of 328838400
- 328838400 squared (3288384002) is 108134693314560000
- 328838400 cubed (3288384003) is 35558839534050607104000000
-
The
square root of 328838400 is 18133.9019518691 -
The
cube root of 328838400 is 690.2305467785
Scales and comparisons
How big is 328838400?- 328,838,400 seconds is equal to 10 years, 23 weeks, 5 days.
-
To count from 1 to 328,838,400 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 328838400 cubic inches would be around 57.5 feet tall.
Recreational maths with 328838400
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