34144768
34,144,768 is an even composite number composed of three prime numbers multiplied together.
34144768 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty divisors.
Prime factorization of 34144768:
29 × 72 × 1361
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 1361)See below for interesting mathematical facts about the number 34144768 from the Numbermatics database.
Names of 34144768
- Cardinal: 34144768 can be written as Thirty-four million, one hundred forty-four thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 3.4144768 × 107
Factors of 34144768
Divisors of 34144768
- Number of divisors d(n): 60
-
Complete list of divisors:
1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1361 1568 1792 2722 3136 3584 5444 6272 9527 10888 12544 19054 21776 25088 38108 43552 66689 76216 87104 133378 152432 174208 266756 304864 348416 533512 609728 696832 1067024 1219456 2134048 2438912 4268096 4877824 8536192 17072384 34144768
- Sum of all divisors σ(n): 79419582
- Sum of proper divisors (its aliquot sum) s(n): 45274814
- 34144768 is an abundant number, because the sum of its proper divisors (45274814) is greater than itself. Its abundance is 11130046
Bases of 34144768
- Binary: 100000100100000010000000002
- Hexadecimal: 0x2090200
- Base-36: KBU9S
Squares and roots of 34144768
- 34144768 squared (341447682) is 1165865181773824
- 34144768 cubed (341447683) is 39808196150945048952832
-
The
square root of 34144768 is 5843.3524624141 -
The
cube root of 34144768 is 324.4203252783
Scales and comparisons
How big is 34144768?- 34,144,768 seconds is equal to 1 year, 4 weeks, 3 days, 4 hours, 39 minutes, 28 seconds.
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To count from 1 to 34,144,768 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 34144768 cubic inches would be around 27 feet tall.
Recreational maths with 34144768
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