328640400
328,640,400 is an even composite number composed of six prime numbers multiplied together.
328640400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 328640400:
24 × 32 × 52 × 11 × 43 × 193
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 43 × 193)See below for interesting mathematical facts about the number 328640400 from the Numbermatics database.
Names of 328640400
- Cardinal: 328640400 can be written as Three hundred twenty-eight million, six hundred forty thousand, four hundred.
Scientific notation
- Scientific notation: 3.286404 × 108
Factors of 328640400
Divisors of 328640400
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 33 36 40 43 44 45 48 50 55 60 66 72 75 80 86 88 90 99 100 110 120 129 132 144 150 165 172 176 180 193 198 200 215 220 225 240 258 264 275 300 330 344 360 386 387 396 400 430 440 450 473 495 516 528 550 579 600 645 660 688 720 772 774 792 825 860 880 900 946 965 990 1032 1075 1100 1158 1200 1290 1320 1419 1544 1548 1584 1650 1720 1737 1800 1892 1930 1935 1980 2064 2123 2150 2200 2316 2365 2475 2580 2640 2838 2895 3088 3096 3225 3300 3440 3474 3600 3784 3860 3870 3960 4246 4257 4300 4400 4632 4730 4825 4950 5160 5676 5790 6192 6369 6450 6600 6948 7095 7568 7720 7740 7920 8299 8492 8514 8600 8685 9264 9460 9650 9675 9900 10320 10615 11352 11580 11825 12738 12900 13200 13896 14190 14475 15440 15480 16598 16984 17028 17200 17370 18920 19107 19300 19350 19800 21230 21285 22704 23160 23650 24897 25476 25800 27792 28380 28950 30960 31845 33196 33968 34056 34740 35475 37840 38214 38600 38700 39600 41495 42460 42570 43425 46320 47300 49794 50952 51600 53075 56760 57900 63690 66392 68112 69480 70950 74691 76428 77200 77400 82990 84920 85140 86850 91289 94600 95535 99588 101904 106150 106425 113520 115800 124485 127380 132784 138960 141900 149382 152856 154800 159225 165980 169840 170280 173700 182578 189200 191070 199176 207475 212300 212850 231600 248970 254760 273867 283800 298764 305712 318450 331960 340560 347400 365156 373455 382140 398352 414950 424600 425700 456445 477675 497940 509520 547734 567600 597528 622425 636900 663920 694800 730312 746910 764280 821601 829900 849200 851400 912890 955350 995880 1095468 1195056 1244850 1273800 1369335 1460624 1493820 1528560 1643202 1659800 1702800 1825780 1867275 1910700 1991760 2190936 2282225 2489700 2547600 2738670 2987640 3286404 3319600 3651560 3734550 3821400 4108005 4381872 4564450 4979400 5477340 5975280 6572808 6846675 7303120 7469100 7642800 8216010 9128900 9958800 10954680 13145616 13693350 14938200 16432020 18257800 20540025 21909360 27386700 29876400 32864040 36515600 41080050 54773400 65728080 82160100 109546800 164320200 328640400
- Sum of all divisors σ(n): 1279682976
- Sum of proper divisors (its aliquot sum) s(n): 951042576
- 328640400 is an abundant number, because the sum of its proper divisors (951042576) is greater than itself. Its abundance is 622402176
Bases of 328640400
- Binary: 100111001011010100111100100002
- Hexadecimal: 0x1396A790
- Base-36: 5FNWK0
Squares and roots of 328640400
- 328640400 squared (3286404002) is 108004512512160000
- 328640400 cubed (3286404003) is 35494646193801267264000000
-
The
square root of 328640400 is 18128.4417421907 -
The
cube root of 328640400 is 690.0919852163
Scales and comparisons
How big is 328640400?- 328,640,400 seconds is equal to 10 years, 23 weeks, 2 days, 17 hours.
-
To count from 1 to 328,640,400 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 328640400 cubic inches would be around 57.5 feet tall.
Recreational maths with 328640400
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Numbermatics. (2024). Number 328640400 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/328640400/
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