164308320
164,308,320 is an even composite number composed of six prime numbers multiplied together.
What does the number 164308320 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
164308320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 164308320:
25 × 32 × 5 × 112 × 23 × 41
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 23 × 41)See below for interesting mathematical facts about the number 164308320 from the Numbermatics database.
Names of 164308320
- Cardinal: 164308320 can be written as One hundred sixty-four million, three hundred eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.6430832 × 108
Factors of 164308320
Divisors of 164308320
- 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 23 24 30 32 33 36 40 41 44 45 46 48 55 60 66 69 72 80 82 88 90 92 96 99 110 115 120 121 123 132 138 144 160 164 165 176 180 184 198 205 207 220 230 240 242 246 253 264 276 288 328 330 345 352 360 363 368 369 396 410 414 440 451 460 480 484 492 495 506 528 552 605 615 656 660 690 720 726 736 738 759 792 820 828 880 902 920 943 968 984 990 1012 1035 1056 1089 1104 1210 1230 1265 1312 1320 1353 1380 1440 1452 1476 1518 1584 1640 1656 1760 1804 1815 1840 1845 1886 1936 1968 1980 2024 2070 2178 2208 2255 2277 2420 2460 2530 2640 2706 2760 2783 2829 2904 2952 3036 3168 3280 3312 3608 3630 3680 3690 3772 3795 3872 3936 3960 4048 4059 4140 4356 4510 4554 4715 4840 4920 4961 5060 5280 5412 5445 5520 5566 5658 5808 5904 6072 6560 6624 6765 7216 7260 7380 7544 7590 7920 8096 8118 8280 8349 8487 8712 9020 9108 9430 9680 9840 9922 10120 10373 10824 10890 11040 11132 11316 11385 11616 11808 12144 13530 13915 14145 14432 14520 14760 14883 15088 15180 15840 16236 16560 16698 16974 17424 18040 18216 18860 19360 19680 19844 20240 20295 20746 21648 21780 22264 22632 22770 24288 24805 25047 27060 27830 28290 29040 29520 29766 30176 30360 31119 32472 33120 33396 33948 34848 36080 36432 37720 39688 40480 40590 41492 41745 42435 43296 43560 44528 44649 45264 45540 49610 50094 51865 54120 55660 56580 58080 59040 59532 60720 62238 64944 66792 67896 72160 72864 74415 75440 79376 81180 82984 83490 84870 87120 89056 89298 90528 91080 93357 99220 100188 103730 108240 111320 113160 114103 119064 121440 124476 125235 129888 133584 135792 148830 150880 155595 158752 162360 165968 166980 169740 174240 178596 182160 186714 198440 200376 207460 216480 222640 223245 226320 228206 238128 248952 250470 267168 271584 297660 311190 324720 331936 333960 339480 342309 357192 364320 373428 396880 400752 414920 445280 446490 452640 456412 466785 476256 497904 500940 570515 595320 622380 649440 667920 678960 684618 714384 746856 793760 801504 829840 892980 912824 933570 995808 1001880 1026927 1141030 1190640 1244760 1335840 1357920 1369236 1428768 1493712 1659680 1711545 1785960 1825648 1867140 2003760 2053854 2282060 2381280 2489520 2738472 2987424 3423090 3571920 3651296 3734280 4007520 4107708 4564120 4979040 5134635 5476944 6846180 7143840 7468560 8215416 9128240 10269270 10953888 13692360 14937120 16430832 18256480 20538540 27384720 32861664 41077080 54769440 82154160 164308320
- Sum of all divisors σ(n): 658790496
- Sum of proper divisors (its aliquot sum) s(n): 494482176
- 164308320 is an abundant number, because the sum of its proper divisors (494482176) is greater than itself. Its abundance is 330173856
Bases of 164308320
- Binary: 10011100101100100101011000002
- Hexadecimal: 0x9CB2560
- Base-36: 2PTP40
Squares and roots of 164308320
- 164308320 squared (1643083202) is 26997224021222400
- 164308320 cubed (1643083203) is 4435868523590696890368000
-
The
square root of 164308320 is 12818.2806959435 -
The
cube root of 164308320 is 547.7131715093
Scales and comparisons
How big is 164308320?- 164,308,320 seconds is equal to 5 years, 11 weeks, 4 days, 17 hours, 12 minutes.
-
To count from 1 to 164,308,320 would take you about seven 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 164308320 cubic inches would be around 45.6 feet tall.
Recreational maths with 164308320
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