345138948
345,138,948 is an even composite number composed of four prime numbers multiplied together.
345138948 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 345138948:
22 × 33 × 74 × 113
(2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 11 × 11 × 11)See below for interesting mathematical facts about the number 345138948 from the Numbermatics database.
Names of 345138948
- Cardinal: 345138948 can be written as Three hundred forty-five million, one hundred thirty-eight thousand, nine hundred forty-eight.
Scientific notation
- Scientific notation: 3.45138948 × 108
Factors of 345138948
Divisors of 345138948
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 49 54 63 66 77 84 98 99 108 121 126 132 147 154 189 196 198 231 242 252 294 297 308 343 363 378 396 441 462 484 539 588 594 686 693 726 756 847 882 924 1029 1078 1089 1188 1323 1331 1372 1386 1452 1617 1694 1764 2058 2079 2156 2178 2401 2541 2646 2662 2772 3087 3234 3267 3388 3773 3993 4116 4158 4356 4802 4851 5082 5292 5324 5929 6174 6468 6534 7203 7546 7623 7986 8316 9261 9317 9604 9702 10164 11319 11858 11979 12348 13068 14406 14553 15092 15246 15972 17787 18522 18634 19404 21609 22638 22869 23716 23958 26411 27951 28812 29106 30492 33957 35574 35937 37044 37268 41503 43218 45276 45738 47916 52822 53361 55902 58212 64827 65219 67914 71148 71874 79233 83006 83853 86436 91476 101871 105644 106722 111804 124509 129654 130438 135828 143748 158466 160083 166012 167706 195657 203742 213444 237699 249018 251559 259308 260876 290521 316932 320166 335412 373527 391314 407484 456533 475398 498036 503118 581042 586971 640332 713097 747054 782628 871563 913066 950796 1006236 1120581 1162084 1173942 1369599 1426194 1494108 1743126 1760913 1826132 2241162 2347884 2614689 2739198 2852388 3195731 3486252 3521826 4108797 4482324 5229378 5478396 6391462 7043652 7844067 8217594 9587193 10458756 12326391 12782924 15688134 16435188 19174386 24652782 28761579 31376268 38348772 49305564 57523158 86284737 115046316 172569474 345138948
- Sum of all divisors σ(n): 1148185920
- Sum of proper divisors (its aliquot sum) s(n): 803046972
- 345138948 is an abundant number, because the sum of its proper divisors (803046972) is greater than itself. Its abundance is 457908024
Bases of 345138948
- Binary: 101001001001001100111000001002
- Hexadecimal: 0x14926704
- Base-36: 5PHIX0
Squares and roots of 345138948
- 345138948 squared (3451389482) is 119120893426546704
- 345138948 cubed (3451389483) is 41113259842058444691427392
-
The
square root of 345138948 is 18577.9155989039 -
The
cube root of 345138948 is 701.4520525033
Scales and comparisons
How big is 345138948?- 345,138,948 seconds is equal to 10 years, 50 weeks, 4 days, 15 hours, 55 minutes, 48 seconds.
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To count from 1 to 345,138,948 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 345138948 cubic inches would be around 58.5 feet tall.
Recreational maths with 345138948
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