345086420
345,086,420 is an even composite number composed of six prime numbers multiplied together.
345086420 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 345086420:
22 × 5 × 72 × 31 × 37 × 307
(2 × 2 × 5 × 7 × 7 × 31 × 37 × 307)See below for interesting mathematical facts about the number 345086420 from the Numbermatics database.
Names of 345086420
- Cardinal: 345086420 can be written as Three hundred forty-five million, eighty-six thousand, four hundred twenty.
Scientific notation
- Scientific notation: 3.4508642 × 108
Factors of 345086420
Divisors of 345086420
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 7 10 14 20 28 31 35 37 49 62 70 74 98 124 140 148 155 185 196 217 245 259 307 310 370 434 490 518 614 620 740 868 980 1036 1085 1147 1228 1295 1519 1535 1813 2149 2170 2294 2590 3038 3070 3626 4298 4340 4588 5180 5735 6076 6140 7252 7595 8029 8596 9065 9517 10745 11359 11470 15043 15190 16058 18130 19034 21490 22718 22940 30086 30380 32116 36260 38068 40145 42980 45436 47585 56203 56795 60172 66619 75215 79513 80290 95170 112406 113590 133238 150430 159026 160580 190340 224812 227180 266476 281015 300860 318052 333095 352129 397565 466333 556591 562030 666190 704258 795130 932666 1113182 1124060 1332380 1408516 1590260 1760645 1865332 2226364 2331665 2464903 2782955 3521290 4663330 4929806 5565910 7042580 9326660 9859612 11131820 12324515 17254321 24649030 34508642 49298060 69017284 86271605 172543210 345086420
- Sum of all divisors σ(n): 896620032
- Sum of proper divisors (its aliquot sum) s(n): 551533612
- 345086420 is an abundant number, because the sum of its proper divisors (551533612) is greater than itself. Its abundance is 206447192
Bases of 345086420
- Binary: 101001001000110011001110101002
- Hexadecimal: 0x149199D4
- Base-36: 5PGEDW
Squares and roots of 345086420
- 345086420 squared (3450864202) is 119084637268416400
- 345086420 cubed (3450864203) is 41094491151956394545288000
-
The
square root of 345086420 is 18576.5018235403 -
The
cube root of 345086420 is 701.4164651521
Scales and comparisons
How big is 345086420?- 345,086,420 seconds is equal to 10 years, 50 weeks, 4 days, 1 hour, 20 minutes, 20 seconds.
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To count from 1 to 345,086,420 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 345086420 cubic inches would be around 58.5 feet tall.
Recreational maths with 345086420
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