830412000
830,412,000 is an even composite number composed of five prime numbers multiplied together.
830412000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 830412000:
25 × 34 × 53 × 11 × 233
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 233)See below for interesting mathematical facts about the number 830412000 from the Numbermatics database.
Names of 830412000
- Cardinal: 830412000 can be written as Eight hundred thirty million, four hundred twelve thousand.
Scientific notation
- Scientific notation: 8.30412 × 108
Factors of 830412000
Divisors of 830412000
- Number of divisors d(n): 480
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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 66 72 75 80 81 88 90 96 99 100 108 110 120 125 132 135 144 150 160 162 165 176 180 198 200 216 220 225 233 240 250 264 270 275 288 297 300 324 330 352 360 375 396 400 405 432 440 450 466 480 495 500 528 540 550 594 600 648 660 675 699 720 750 792 800 810 825 864 880 891 900 932 990 1000 1056 1080 1100 1125 1165 1188 1200 1296 1320 1350 1375 1398 1440 1485 1500 1584 1620 1650 1760 1782 1800 1864 1980 2000 2025 2097 2160 2200 2250 2330 2376 2400 2475 2563 2592 2640 2700 2750 2796 2970 3000 3168 3240 3300 3375 3495 3564 3600 3728 3960 4000 4050 4125 4194 4320 4400 4455 4500 4660 4752 4950 5126 5280 5400 5500 5592 5825 5940 6000 6291 6480 6600 6750 6990 7128 7200 7425 7456 7689 7920 8100 8250 8388 8800 8910 9000 9320 9504 9900 10125 10252 10485 10800 11000 11184 11650 11880 12000 12375 12582 12815 12960 13200 13500 13980 14256 14850 15378 15840 16200 16500 16776 17475 17820 18000 18640 18873 19800 20250 20504 20970 21600 22000 22275 22368 23067 23300 23760 24750 25164 25630 26400 27000 27960 28512 29125 29700 30756 31455 32400 33000 33552 34950 35640 36000 37125 37280 37746 38445 39600 40500 41008 41940 44000 44550 46134 46600 47520 49500 50328 51260 52425 54000 55920 58250 59400 61512 62910 64075 64800 66000 67104 69201 69900 71280 74250 75492 76890 79200 81000 82016 83880 87375 89100 92268 93200 94365 99000 100656 102520 104850 108000 111375 111840 115335 116500 118800 123024 125820 128150 132000 138402 139800 142560 148500 150984 153780 157275 162000 167760 174750 178200 184536 186400 188730 192225 198000 201312 205040 207603 209700 222750 230670 233000 237600 246048 251640 256300 262125 276804 279600 297000 301968 307560 314550 320375 324000 335520 346005 349500 356400 369072 377460 384450 396000 410080 415206 419400 445500 461340 466000 471825 503280 512600 524250 553608 559200 576675 594000 603936 615120 629100 640750 692010 699000 712800 738144 754920 768900 786375 830412 838800 891000 922680 932000 943650 961125 1006560 1025200 1038015 1048500 1107216 1153350 1188000 1230240 1258200 1281500 1384020 1398000 1509840 1537800 1572750 1660824 1677600 1730025 1782000 1845360 1887300 1922250 2050400 2076030 2097000 2214432 2306700 2359125 2516400 2563000 2768040 2796000 2883375 3019680 3075600 3145500 3321648 3460050 3564000 3690720 3774600 3844500 4152060 4194000 4613400 4718250 5032800 5126000 5190075 5536080 5766750 6151200 6291000 6643296 6920100 7549200 7689000 8304120 8388000 8650125 9226800 9436500 10252000 10380150 11072160 11533500 12582000 13840200 15098400 15378000 16608240 17300250 18453600 18873000 20760300 23067000 25164000 25950375 27680400 30756000 33216480 34600500 37746000 41520600 46134000 51900750 55360800 69201000 75492000 83041200 92268000 103801500 138402000 166082400 207603000 276804000 415206000 830412000
- Sum of all divisors σ(n): 3339239904
- Sum of proper divisors (its aliquot sum) s(n): 2508827904
- 830412000 is an abundant number, because the sum of its proper divisors (2508827904) is greater than itself. Its abundance is 1678415904
Bases of 830412000
- Binary: 1100010111111100010100111000002
- Hexadecimal: 0x317F14E0
- Base-36: DQEM00
Squares and roots of 830412000
- 830412000 squared (8304120002) is 689584089744000000
- 830412000 cubed (8304120003) is 572638903132494528000000000
-
The
square root of 830412000 is 28816.8700590469 -
The
cube root of 830412000 is 939.9351094485
Scales and comparisons
How big is 830412000?- 830,412,000 seconds is equal to 26 years, 21 weeks, 6 hours.
-
To count from 1 to 830,412,000 would take you about thirty-nine 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 830412000 cubic inches would be around 78.3 feet tall.
Recreational maths with 830412000
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