342117984
342,117,984 is an even composite number composed of six prime numbers multiplied together.
What does the number 342117984 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 192 divisors.
342117984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 342117984:
25 × 3 × 13 × 31 × 37 × 239
(2 × 2 × 2 × 2 × 2 × 3 × 13 × 31 × 37 × 239)See below for interesting mathematical facts about the number 342117984 from the Numbermatics database.
Names of 342117984
- Cardinal: 342117984 can be written as Three hundred forty-two million, one hundred seventeen thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 3.42117984 × 108
Factors of 342117984
Divisors of 342117984
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 31 32 37 39 48 52 62 74 78 93 96 104 111 124 148 156 186 208 222 239 248 296 312 372 403 416 444 478 481 496 592 624 717 744 806 888 956 962 992 1147 1184 1209 1248 1434 1443 1488 1612 1776 1912 1924 2294 2418 2868 2886 2976 3107 3224 3441 3552 3824 3848 4588 4836 5736 5772 6214 6448 6882 7409 7648 7696 8843 9176 9321 9672 11472 11544 12428 12896 13764 14818 14911 15392 17686 18352 18642 19344 22227 22944 23088 24856 26529 27528 29636 29822 35372 36704 37284 38688 44454 44733 46176 49712 53058 55056 59272 59644 70744 74568 88908 89466 96317 99424 106116 110112 114959 118544 119288 141488 149136 177816 178932 192634 212232 229918 237088 238576 274133 282976 288951 298272 344877 355632 357864 385268 424464 459836 477152 548266 577902 689754 711264 715728 770536 822399 848928 919672 1096532 1155804 1379508 1431456 1541072 1644798 1839344 2193064 2311608 2759016 3082144 3289596 3563729 3678688 4386128 4623216 5518032 6579192 7127458 8772256 9246432 10691187 11036064 13158384 14254916 21382374 26316768 28509832 42764748 57019664 85529496 114039328 171058992 342117984
- Sum of all divisors σ(n): 1029611520
- Sum of proper divisors (its aliquot sum) s(n): 687493536
- 342117984 is an abundant number, because the sum of its proper divisors (687493536) is greater than itself. Its abundance is 345375552
Bases of 342117984
- Binary: 101000110010001001110011000002
- Hexadecimal: 0x14644E60
- Base-36: 5NORXC
Squares and roots of 342117984
- 342117984 squared (3421179842) is 117044714976224256
- 342117984 cubed (3421179843) is 40043101925520450394619904
-
The
square root of 342117984 is 18496.4316558627 -
The
cube root of 342117984 is 699.3994740753
Scales and comparisons
How big is 342117984?- 342,117,984 seconds is equal to 10 years, 45 weeks, 4 days, 16 hours, 46 minutes, 24 seconds.
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To count from 1 to 342,117,984 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 342117984 cubic inches would be around 58.3 feet tall.
Recreational maths with 342117984
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Keywords: Divisors of 342117984, math, Factors of 342117984, curriculum, school, college, exams, university, Prime factorization of 342117984, STEM, science, technology, engineering, physics, economics, calculator, three hundred forty-two million, one hundred seventeen thousand, nine hundred eighty-four.