34006307328
34,006,307,328 is an even composite number composed of five prime numbers multiplied together.
34006307328 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 34006307328:
29 × 33 × 72 × 61 × 823
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 61 × 823)See below for interesting mathematical facts about the number 34006307328 from the Numbermatics database.
Names of 34006307328
- Cardinal: 34006307328 can be written as Thirty-four billion, six million, three hundred seven thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 3.4006307328 × 1010
Factors of 34006307328
Divisors of 34006307328
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 61 63 64 72 84 96 98 108 112 122 126 128 144 147 168 183 189 192 196 216 224 244 252 256 288 294 336 366 378 384 392 427 432 441 448 488 504 512 549 576 588 672 732 756 768 784 823 854 864 882 896 976 1008 1098 1152 1176 1281 1323 1344 1464 1512 1536 1568 1646 1647 1708 1728 1764 1792 1952 2016 2196 2304 2352 2469 2562 2646 2688 2928 2989 3024 3136 3292 3294 3416 3456 3528 3584 3843 3904 4032 4392 4608 4704 4938 5124 5292 5376 5761 5856 5978 6048 6272 6584 6588 6832 6912 7056 7407 7686 7808 8064 8784 8967 9408 9876 10248 10584 10752 11522 11529 11712 11956 12096 12544 13168 13176 13664 13824 14112 14814 15372 15616 16128 17283 17568 17934 18816 19752 20496 21168 22221 23044 23058 23424 23912 24192 25088 26336 26352 26901 27328 28224 29628 30744 31232 32256 34566 35136 35868 37632 39504 40327 40992 42336 44442 46088 46116 46848 47824 48384 50203 51849 52672 52704 53802 54656 56448 59256 61488 69132 70272 71736 75264 79008 80654 80703 81984 84672 88884 92176 92232 93696 95648 96768 100406 103698 105344 105408 107604 109312 112896 118512 120981 122976 138264 140544 143472 150609 155547 158016 161308 161406 163968 169344 177768 184352 184464 191296 200812 207396 210688 210816 215208 218624 225792 237024 241962 245952 276528 281088 286944 301218 311094 316032 322616 322812 327936 338688 351421 355536 362943 368704 368928 382592 401624 414792 421376 421632 430416 451827 474048 483924 491904 553056 573888 602436 622188 632064 645232 645624 655872 677376 702842 711072 725886 737408 737856 765184 803248 829584 843264 860832 903654 948096 967848 983808 1054263 1088829 1106112 1147776 1204872 1244376 1264128 1290464 1291248 1355481 1405684 1422144 1451772 1474816 1475712 1530368 1606496 1659168 1721664 1807308 1896192 1935696 1967616 2108526 2177658 2212224 2295552 2409744 2459947 2488752 2580928 2582496 2710962 2811368 2844288 2903544 2949632 2951424 3162789 3212992 3318336 3443328 3614616 3792384 3871392 4217052 4355316 4424448 4591104 4819488 4919894 4977504 5161856 5164992 5421924 5622736 5688576 5807088 5902848 6325578 6425984 6636672 6886656 7229232 7379841 7742784 8434104 8710632 8848896 9488367 9638976 9839788 9955008 10323712 10329984 10843848 11245472 11377152 11614176 12651156 12851968 13273344 13773312 14458464 14759682 15485568 16868208 17421264 18976734 19277952 19679576 19910016 20647424 20659968 21687696 22139523 22490944 23228352 25302312 25703936 26546688 28916928 29519364 30971136 33736416 34842528 37953468 38555904 39359152 39820032 41319936 43375392 44279046 44981888 46456704 50604624 57833856 59038728 61942272 66418569 67472832 69685056 75906936 77111808 78718304 79640064 86750784 88558092 89963776 92913408 101209248 115667712 118077456 132837138 134945664 139370112 151813872 157436608 173501568 177116184 179927552 185826816 202418496 231335424 236154912 265674276 269891328 278740224 303627744 314873216 347003136 354232368 404836992 472309824 531348552 539782656 557480448 607255488 629746432 694006272 708464736 809673984 944619648 1062697104 1214510976 1259492864 1416929472 1619347968 1889239296 2125394208 2429021952 2833858944 3778478592 4250788416 4858043904 5667717888 8501576832 11335435776 17003153664 34006307328
- Sum of all divisors σ(n): 119159694720
- Sum of proper divisors (its aliquot sum) s(n): 85153387392
- 34006307328 is an abundant number, because the sum of its proper divisors (85153387392) is greater than itself. Its abundance is 51147080064
Bases of 34006307328
- Binary: 111111010101110111100010010000000002
- Hexadecimal: 0x7EAEF1200
- Base-36: FMEH6O0
Squares and roots of 34006307328
- 34006307328 squared (340063073282) is 1156428938086386499584
- 34006307328 cubed (340063073283) is 39325877871558343517843648151552
-
The
square root of 34006307328 is 184407.9914971149 -
The
cube root of 34006307328 is 3239.8121153053
Scales and comparisons
How big is 34006307328?- 34,006,307,328 seconds is equal to 1,081 years, 15 weeks, 2 days, 12 hours, 28 minutes, 48 seconds.
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To count from 1 to 34,006,307,328 would take you about two thousand, one hundred sixty-two 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 34006307328 cubic inches would be around 270 feet tall.
Recreational maths with 34006307328
- 34006307328 backwards is 82370360043
- 34006307328 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 34006307328's digits is 36
- More coming soon!
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