342371680
342,371,680 is an even composite number composed of six prime numbers multiplied together.
342371680 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 342371680:
25 × 5 × 7 × 29 × 83 × 127
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 29 × 83 × 127)See below for interesting mathematical facts about the number 342371680 from the Numbermatics database.
Names of 342371680
- Cardinal: 342371680 can be written as Three hundred forty-two million, three hundred seventy-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 3.4237168 × 108
Factors of 342371680
Divisors of 342371680
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 70 80 83 112 116 127 140 145 160 166 203 224 232 254 280 290 332 406 415 464 508 560 580 581 635 664 812 830 889 928 1015 1016 1120 1160 1162 1270 1328 1624 1660 1778 2030 2032 2320 2324 2407 2540 2656 2905 3248 3320 3556 3683 4060 4064 4445 4640 4648 4814 5080 5810 6496 6640 7112 7366 8120 8890 9296 9628 10160 10541 11620 12035 13280 14224 14732 16240 16849 17780 18415 18592 19256 20320 21082 23240 24070 25781 28448 29464 32480 33698 35560 36830 38512 42164 46480 48140 51562 52705 58928 67396 71120 73660 73787 77024 84245 84328 92960 96280 103124 105410 117856 128905 134792 142240 147320 147574 168490 168656 192560 206248 210820 257810 269584 294640 295148 305689 336980 337312 368935 385120 412496 421640 515620 539168 589280 590296 611378 673960 737870 824992 843280 1031240 1180592 1222756 1347920 1475740 1528445 1686560 2062480 2139823 2361184 2445512 2695840 2951480 3056890 4124960 4279646 4891024 5902960 6113780 8559292 9782048 10699115 11805920 12227560 17118584 21398230 24455120 34237168 42796460 48910240 68474336 85592920 171185840 342371680
- Sum of all divisors σ(n): 975421440
- Sum of proper divisors (its aliquot sum) s(n): 633049760
- 342371680 is an abundant number, because the sum of its proper divisors (633049760) is greater than itself. Its abundance is 290678080
Bases of 342371680
- Binary: 101000110100000101101011000002
- Hexadecimal: 0x14682D60
- Base-36: 5NU7OG
Squares and roots of 342371680
- 342371680 squared (3423716802) is 117218367266022400
- 342371680 cubed (3423716803) is 40132249327725096005632000
-
The
square root of 342371680 is 18503.2883563977 -
The
cube root of 342371680 is 699.5723101695
Scales and comparisons
How big is 342371680?- 342,371,680 seconds is equal to 10 years, 46 weeks, 15 hours, 14 minutes, 40 seconds.
-
To count from 1 to 342,371,680 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 342371680 cubic inches would be around 58.3 feet tall.
Recreational maths with 342371680
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