345129984
345,129,984 is an even composite number composed of four prime numbers multiplied together.
345129984 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 345129984:
210 × 35 × 19 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 19 × 73)See below for interesting mathematical facts about the number 345129984 from the Numbermatics database.
Names of 345129984
- Cardinal: 345129984 can be written as Three hundred forty-five million, one hundred twenty-nine thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 3.45129984 × 108
Factors of 345129984
Divisors of 345129984
- Number of divisors d(n): 264
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 73 76 81 96 108 114 128 144 146 152 162 171 192 216 219 228 243 256 288 292 304 324 342 384 432 438 456 486 512 513 576 584 608 648 657 684 768 864 876 912 972 1024 1026 1152 1168 1216 1296 1314 1368 1387 1536 1539 1728 1752 1824 1944 1971 2052 2304 2336 2432 2592 2628 2736 2774 3072 3078 3456 3504 3648 3888 3942 4104 4161 4608 4617 4672 4864 5184 5256 5472 5548 5913 6156 6912 7008 7296 7776 7884 8208 8322 9216 9234 9344 9728 10368 10512 10944 11096 11826 12312 12483 13824 14016 14592 15552 15768 16416 16644 17739 18468 18688 19456 20736 21024 21888 22192 23652 24624 24966 27648 28032 29184 31104 31536 32832 33288 35478 36936 37376 37449 41472 42048 43776 44384 47304 49248 49932 56064 58368 62208 63072 65664 66576 70956 73872 74752 74898 82944 84096 87552 88768 94608 98496 99864 112128 112347 124416 126144 131328 133152 141912 147744 149796 168192 175104 177536 189216 196992 199728 224256 224694 248832 252288 262656 266304 283824 295488 299592 336384 337041 355072 378432 393984 399456 449388 504576 525312 532608 567648 590976 599184 672768 674082 710144 756864 787968 798912 898776 1009152 1065216 1135296 1181952 1198368 1348164 1420288 1513728 1575936 1597824 1797552 2018304 2130432 2270592 2363904 2396736 2696328 3027456 3195648 3595104 4260864 4541184 4727808 4793472 5392656 6054912 6391296 7190208 9082368 9586944 10785312 12782592 14380416 18164736 19173888 21570624 28760832 38347776 43141248 57521664 86282496 115043328 172564992 345129984
- Sum of all divisors σ(n): 1102759840
- Sum of proper divisors (its aliquot sum) s(n): 757629856
- 345129984 is an abundant number, because the sum of its proper divisors (757629856) is greater than itself. Its abundance is 412499872
Bases of 345129984
- Binary: 101001001001001000100000000002
- Hexadecimal: 0x14924400
- Base-36: 5PHC00
Squares and roots of 345129984
- 345129984 squared (3451299842) is 119114705855840256
- 345129984 cubed (3451299843) is 41110056526190853859835904
-
The
square root of 345129984 is 18577.6743431463 -
The
cube root of 345129984 is 701.4459797117
Scales and comparisons
How big is 345129984?- 345,129,984 seconds is equal to 10 years, 50 weeks, 4 days, 13 hours, 26 minutes, 24 seconds.
-
To count from 1 to 345,129,984 would take you about sixteen 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 345129984 cubic inches would be around 58.5 feet tall.
Recreational maths with 345129984
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Keywords: Divisors of 345129984, math, Factors of 345129984, curriculum, school, college, exams, university, Prime factorization of 345129984, STEM, science, technology, engineering, physics, economics, calculator, three hundred forty-five million, one hundred twenty-nine thousand, nine hundred eighty-four.