34228320
34,228,320 is an even composite number composed of six prime numbers multiplied together.
34228320 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 34228320:
25 × 3 × 5 × 7 × 61 × 167
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 61 × 167)See below for interesting mathematical facts about the number 34228320 from the Numbermatics database.
Names of 34228320
- Cardinal: 34228320 can be written as Thirty-four million, two hundred twenty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 3.422832 × 107
Factors of 34228320
Divisors of 34228320
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 61 70 80 84 96 105 112 120 122 140 160 167 168 183 210 224 240 244 280 305 334 336 366 420 427 480 488 501 560 610 668 672 732 835 840 854 915 976 1002 1120 1169 1220 1281 1336 1464 1670 1680 1708 1830 1952 2004 2135 2338 2440 2505 2562 2672 2928 3340 3360 3416 3507 3660 4008 4270 4676 4880 5010 5124 5344 5845 5856 6405 6680 6832 7014 7320 8016 8540 9352 9760 10020 10187 10248 11690 12810 13360 13664 14028 14640 16032 17080 17535 18704 20040 20374 20496 23380 25620 26720 28056 29280 30561 34160 35070 37408 40080 40748 40992 46760 50935 51240 56112 61122 68320 70140 71309 80160 81496 93520 101870 102480 112224 122244 140280 142618 152805 162992 187040 203740 204960 213927 244488 280560 285236 305610 325984 356545 407480 427854 488976 561120 570472 611220 713090 814960 855708 977952 1069635 1140944 1222440 1426180 1629920 1711416 2139270 2281888 2444880 2852360 3422832 4278540 4889760 5704720 6845664 8557080 11409440 17114160 34228320
- Sum of all divisors σ(n): 125991936
- Sum of proper divisors (its aliquot sum) s(n): 91763616
- 34228320 is an abundant number, because the sum of its proper divisors (91763616) is greater than itself. Its abundance is 57535296
Bases of 34228320
- Binary: 100000101001001000011000002
- Hexadecimal: 0x20A4860
- Base-36: KDMQO
Squares and roots of 34228320
- 34228320 squared (342283202) is 1171577890022400
- 34228320 cubed (342283203) is 40101142924611514368000
-
The
square root of 34228320 is 5850.4974147503 -
The
cube root of 34228320 is 324.6847277939
Scales and comparisons
How big is 34228320?- 34,228,320 seconds is equal to 1 year, 4 weeks, 4 days, 3 hours, 52 minutes.
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To count from 1 to 34,228,320 would take you about thirty-two weeks!
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 34228320 cubic inches would be around 27.1 feet tall.
Recreational maths with 34228320
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The information we have on file for 34228320 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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