34384140
34,384,140 is an even composite number composed of six prime numbers multiplied together.
34384140 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 34384140:
22 × 32 × 5 × 7 × 29 × 941
(2 × 2 × 3 × 3 × 5 × 7 × 29 × 941)See below for interesting mathematical facts about the number 34384140 from the Numbermatics database.
Names of 34384140
- Cardinal: 34384140 can be written as Thirty-four million, three hundred eighty-four thousand, one hundred forty.
Scientific notation
- Scientific notation: 3.438414 × 107
Factors of 34384140
Divisors of 34384140
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 29 30 35 36 42 45 58 60 63 70 84 87 90 105 116 126 140 145 174 180 203 210 252 261 290 315 348 406 420 435 522 580 609 630 812 870 941 1015 1044 1218 1260 1305 1740 1827 1882 2030 2436 2610 2823 3045 3654 3764 4060 4705 5220 5646 6090 6587 7308 8469 9135 9410 11292 12180 13174 14115 16938 18270 18820 19761 26348 27289 28230 32935 33876 36540 39522 42345 54578 56460 59283 65870 79044 81867 84690 98805 109156 118566 131740 136445 163734 169380 191023 197610 237132 245601 272890 296415 327468 382046 395220 409335 491202 545780 573069 592830 764092 818670 955115 982404 1146138 1185660 1228005 1637340 1719207 1910230 2292276 2456010 2865345 3438414 3820460 4912020 5730690 6876828 8596035 11461380 17192070 34384140
- Sum of all divisors σ(n): 123439680
- Sum of proper divisors (its aliquot sum) s(n): 89055540
- 34384140 is an abundant number, because the sum of its proper divisors (89055540) is greater than itself. Its abundance is 54671400
Bases of 34384140
- Binary: 100000110010101001000011002
- Hexadecimal: 0x20CA90C
- Base-36: KGYZ0
Squares and roots of 34384140
- 34384140 squared (343841402) is 1182269083539600
- 34384140 cubed (343841403) is 40651305686097301944000
-
The
square root of 34384140 is 5863.7991097923 -
The
cube root of 34384140 is 325.1766771125
Scales and comparisons
How big is 34384140?- 34,384,140 seconds is equal to 1 year, 4 weeks, 5 days, 23 hours, 9 minutes.
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To count from 1 to 34,384,140 would take you about thirty-three 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 34384140 cubic inches would be around 27.1 feet tall.
Recreational maths with 34384140
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