34996968
34,996,968 is an even composite number composed of five prime numbers multiplied together.
34996968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 34996968:
23 × 33 × 29 × 37 × 151
(2 × 2 × 2 × 3 × 3 × 3 × 29 × 37 × 151)See below for interesting mathematical facts about the number 34996968 from the Numbermatics database.
Names of 34996968
- Cardinal: 34996968 can be written as Thirty-four million, nine hundred ninety-six thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 3.4996968 × 107
Factors of 34996968
Divisors of 34996968
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 3 4 6 8 9 12 18 24 27 29 36 37 54 58 72 74 87 108 111 116 148 151 174 216 222 232 261 296 302 333 348 444 453 522 604 666 696 783 888 906 999 1044 1073 1208 1332 1359 1566 1812 1998 2088 2146 2664 2718 3132 3219 3624 3996 4077 4292 4379 5436 5587 6264 6438 7992 8154 8584 8758 9657 10872 11174 12876 13137 16308 16761 17516 19314 22348 25752 26274 28971 32616 33522 35032 38628 39411 44696 50283 52548 57942 67044 77256 78822 100566 105096 115884 118233 134088 150849 157644 162023 201132 231768 236466 301698 315288 324046 402264 472932 486069 603396 648092 945864 972138 1206792 1296184 1458207 1944276 2916414 3888552 4374621 5832828 8749242 11665656 17498484 34996968
- Sum of all divisors σ(n): 103968000
- Sum of proper divisors (its aliquot sum) s(n): 68971032
- 34996968 is an abundant number, because the sum of its proper divisors (68971032) is greater than itself. Its abundance is 33974064
Bases of 34996968
- Binary: 100001011000000010111010002
- Hexadecimal: 0x21602E8
- Base-36: KU3U0
Squares and roots of 34996968
- 34996968 squared (349969682) is 1224787769193024
- 34996968 cubed (349969683) is 42863858365239646751232
-
The
square root of 34996968 is 5915.8235267797 -
The
cube root of 34996968 is 327.0971851527
Scales and comparisons
How big is 34996968?- 34,996,968 seconds is equal to 1 year, 5 weeks, 6 days, 1 hour, 22 minutes, 48 seconds.
-
To count from 1 to 34,996,968 would take you about thirty-four 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 34996968 cubic inches would be around 27.3 feet tall.
Recreational maths with 34996968
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