428008320
428,008,320 is an even composite number composed of six prime numbers multiplied together.
428008320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 428008320:
27 × 33 × 5 × 17 × 31 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 31 × 47)See below for interesting mathematical facts about the number 428008320 from the Numbermatics database.
Names of 428008320
- Cardinal: 428008320 can be written as Four hundred twenty-eight million, eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.2800832 × 108
Factors of 428008320
Divisors of 428008320
- Number of divisors d(n): 512
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 31 32 34 36 40 45 47 48 51 54 60 62 64 68 72 80 85 90 93 94 96 102 108 120 124 128 135 136 141 144 153 155 160 170 180 186 188 192 204 216 235 240 248 255 270 272 279 282 288 306 310 320 340 360 372 376 384 408 423 432 459 465 470 480 496 510 527 540 544 558 564 576 612 620 640 680 705 720 744 752 765 799 816 837 846 864 918 930 940 960 992 1020 1054 1080 1088 1116 1128 1152 1224 1240 1269 1360 1395 1410 1440 1457 1488 1504 1530 1581 1598 1632 1674 1692 1728 1836 1860 1880 1920 1984 2040 2108 2115 2160 2176 2232 2256 2295 2397 2448 2480 2538 2635 2720 2790 2820 2880 2914 2976 3008 3060 3162 3196 3264 3348 3384 3456 3672 3720 3760 3968 3995 4080 4185 4216 4230 4320 4371 4464 4512 4590 4743 4794 4896 4960 5076 5270 5440 5580 5640 5760 5828 5952 6016 6120 6324 6345 6392 6528 6696 6768 7191 7285 7344 7440 7520 7905 7990 8160 8370 8432 8460 8640 8742 8928 9024 9180 9486 9588 9792 9920 10152 10540 10880 11160 11280 11656 11904 11985 12240 12648 12690 12784 13113 13392 13536 14229 14382 14570 14688 14880 15040 15810 15980 16320 16740 16864 16920 17280 17484 17856 18048 18360 18972 19176 19584 19840 20304 21080 21573 21855 22320 22560 23312 23715 23970 24480 24769 25296 25380 25568 26226 26784 27072 28458 28764 29140 29376 29760 30080 31620 31960 32640 33480 33728 33840 34968 35712 35955 36720 37944 38352 39339 40608 42160 43146 43710 44640 45120 46624 47430 47940 48960 49538 50592 50760 51136 52452 53568 54144 56916 57528 58280 58752 59520 63240 63920 65565 66960 67456 67680 69936 71145 71910 73440 74307 75888 76704 78678 81216 84320 86292 87420 89280 90240 93248 94860 95880 97920 99076 101184 101520 102272 104904 107136 107865 113832 115056 116560 123845 126480 127840 131130 133920 135360 139872 142290 143820 146880 148614 151776 153408 157356 162432 168640 172584 174840 178560 186496 189720 191760 196695 198152 202368 203040 209808 215730 222921 227664 230112 233120 247690 252960 255680 262260 267840 270720 279744 284580 287640 293760 297228 303552 306816 314712 337280 345168 349680 371535 379440 383520 393390 396304 406080 419616 431460 445842 455328 460224 466240 495380 505920 511360 524520 535680 559488 569160 575280 594456 607104 629424 668763 690336 699360 743070 758880 767040 786780 792608 812160 839232 862920 891684 910656 920448 932480 990760 1011840 1049040 1114605 1138320 1150560 1188912 1258848 1337526 1380672 1398720 1486140 1517760 1534080 1573560 1585216 1678464 1725840 1783368 1821312 1981520 2098080 2229210 2276640 2301120 2377824 2517696 2675052 2761344 2797440 2972280 3035520 3147120 3170432 3343815 3451680 3566736 3963040 4196160 4458420 4553280 4602240 4755648 5035392 5350104 5944560 6294240 6687630 6903360 7133472 7926080 8392320 8916840 9106560 9511296 10700208 11889120 12588480 13375260 13806720 14266944 15852160 17833680 21400416 23778240 25176960 26750520 28533888 35667360 42800832 47556480 53501040 71334720 85601664 107002080 142669440 214004160 428008320
- Sum of all divisors σ(n): 1692057600
- Sum of proper divisors (its aliquot sum) s(n): 1264049280
- 428008320 is an abundant number, because the sum of its proper divisors (1264049280) is greater than itself. Its abundance is 836040960
Bases of 428008320
- Binary: 110011000001011100011100000002
- Hexadecimal: 0x1982E380
- Base-36: 72TPC0
Squares and roots of 428008320
- 428008320 squared (4280083202) is 183191121989222400
- 428008320 cubed (4280083203) is 78407324361522137530368000
-
The
square root of 428008320 is 20688.3619457897 -
The
cube root of 428008320 is 753.6170875269
Scales and comparisons
How big is 428008320?- 428,008,320 seconds is equal to 13 years, 31 weeks, 4 days, 19 hours, 12 minutes.
-
To count from 1 to 428,008,320 would take you about twenty 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 428008320 cubic inches would be around 62.8 feet tall.
Recreational maths with 428008320
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