345343968
345,343,968 is an even composite number composed of five prime numbers multiplied together.
345343968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 345343968:
25 × 32 × 31 × 47 × 823
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 31 × 47 × 823)See below for interesting mathematical facts about the number 345343968 from the Numbermatics database.
Names of 345343968
- Cardinal: 345343968 can be written as Three hundred forty-five million, three hundred forty-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 3.45343968 × 108
Factors of 345343968
Divisors of 345343968
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 31 32 36 47 48 62 72 93 94 96 124 141 144 186 188 248 279 282 288 372 376 423 496 558 564 744 752 823 846 992 1116 1128 1457 1488 1504 1646 1692 2232 2256 2469 2914 2976 3292 3384 4371 4464 4512 4938 5828 6584 6768 7407 8742 8928 9876 11656 13113 13168 13536 14814 17484 19752 23312 25513 26226 26336 29628 34968 38681 39504 46624 51026 52452 59256 69936 76539 77362 79008 102052 104904 116043 118512 139872 153078 154724 204104 209808 229617 232086 237024 306156 309448 348129 408208 419616 459234 464172 612312 618896 696258 816416 918468 928344 1199111 1224624 1237792 1392516 1836936 1856688 2398222 2449248 2785032 3597333 3673872 3713376 4796444 5570064 7194666 7347744 9592888 10791999 11140128 14389332 19185776 21583998 28778664 38371552 43167996 57557328 86335992 115114656 172671984 345343968
- Sum of all divisors σ(n): 1036578816
- Sum of proper divisors (its aliquot sum) s(n): 691234848
- 345343968 is an abundant number, because the sum of its proper divisors (691234848) is greater than itself. Its abundance is 345890880
Bases of 345343968
- Binary: 101001001010110000111111000002
- Hexadecimal: 0x149587E0
- Base-36: 5PLX40
Squares and roots of 345343968
- 345343968 squared (3453439682) is 119262456233985024
- 345343968 cubed (3453439683) is 41186569869270724640735232
-
The
square root of 345343968 is 18583.4326215583 -
The
cube root of 345343968 is 701.5909175741
Scales and comparisons
How big is 345343968?- 345,343,968 seconds is equal to 10 years, 51 weeks, 52 minutes, 48 seconds.
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To count from 1 to 345,343,968 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 345343968 cubic inches would be around 58.5 feet tall.
Recreational maths with 345343968
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