328280400
328,280,400 is an even composite number composed of five prime numbers multiplied together.
328280400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred seventy divisors.
Prime factorization of 328280400:
24 × 32 × 52 × 72 × 1861
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 1861)See below for interesting mathematical facts about the number 328280400 from the Numbermatics database.
Names of 328280400
- Cardinal: 328280400 can be written as Three hundred twenty-eight million, two hundred eighty thousand, four hundred.
Scientific notation
- Scientific notation: 3.282804 × 108
Factors of 328280400
Divisors of 328280400
- Number of divisors d(n): 270
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 35 36 40 42 45 48 49 50 56 60 63 70 72 75 80 84 90 98 100 105 112 120 126 140 144 147 150 168 175 180 196 200 210 225 240 245 252 280 294 300 315 336 350 360 392 400 420 441 450 490 504 525 560 588 600 630 700 720 735 784 840 882 900 980 1008 1050 1176 1200 1225 1260 1400 1470 1575 1680 1764 1800 1861 1960 2100 2205 2352 2450 2520 2800 2940 3150 3528 3600 3675 3722 3920 4200 4410 4900 5040 5583 5880 6300 7056 7350 7444 8400 8820 9305 9800 11025 11166 11760 12600 13027 14700 14888 16749 17640 18610 19600 22050 22332 25200 26054 27915 29400 29776 33498 35280 37220 39081 44100 44664 46525 52108 55830 58800 65135 66996 74440 78162 83745 88200 89328 91189 93050 104216 111660 117243 130270 133992 139575 148880 156324 167490 176400 182378 186100 195405 208432 223320 234486 260540 267984 273567 279150 312648 325675 334980 364756 372200 390810 418725 446640 455945 468972 521080 547134 558300 586215 625296 651350 669960 729512 744400 781620 820701 837450 911890 937944 977025 1042160 1094268 1116600 1172430 1302700 1339920 1367835 1459024 1563240 1641402 1674900 1823780 1875888 1954050 2188536 2233200 2279725 2344860 2605400 2735670 2931075 3126480 3282804 3349800 3647560 3908100 4103505 4377072 4559450 4689720 5210800 5471340 5862150 6565608 6699600 6839175 7295120 7816200 8207010 9118900 9379440 10942680 11724300 13131216 13678350 15632400 16414020 18237800 20517525 21885360 23448600 27356700 32828040 36475600 41035050 46897200 54713400 65656080 82070100 109426800 164140200 328280400
- Sum of all divisors σ(n): 1325932062
- Sum of proper divisors (its aliquot sum) s(n): 997651662
- 328280400 is an abundant number, because the sum of its proper divisors (997651662) is greater than itself. Its abundance is 669371262
Bases of 328280400
- Binary: 100111001000100101001010100002
- Hexadecimal: 0x13912950
- Base-36: 5FG6S0
Squares and roots of 328280400
- 328280400 squared (3282804002) is 107768021024160000
- 328280400 cubed (3282804003) is 35378129049019654464000000
-
The
square root of 328280400 is 18118.5098725033 -
The
cube root of 328280400 is 689.8399124513
Scales and comparisons
How big is 328280400?- 328,280,400 seconds is equal to 10 years, 22 weeks, 5 days, 13 hours.
-
To count from 1 to 328,280,400 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 328280400 cubic inches would be around 57.5 feet tall.
Recreational maths with 328280400
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