164374400
164,374,400 is an even composite number composed of four prime numbers multiplied together.
164374400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 164374400:
27 × 52 × 31 × 1657
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 31 × 1657)See below for interesting mathematical facts about the number 164374400 from the Numbermatics database.
Names of 164374400
- Cardinal: 164374400 can be written as One hundred sixty-four million, three hundred seventy-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.643744 × 108
Factors of 164374400
Divisors of 164374400
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 128 155 160 200 248 310 320 400 496 620 640 775 800 992 1240 1550 1600 1657 1984 2480 3100 3200 3314 3968 4960 6200 6628 8285 9920 12400 13256 16570 19840 24800 26512 33140 41425 49600 51367 53024 66280 82850 99200 102734 106048 132560 165700 205468 212096 256835 265120 331400 410936 513670 530240 662800 821872 1027340 1060480 1284175 1325600 1643744 2054680 2568350 2651200 3287488 4109360 5136700 5302400 6574976 8218720 10273400 16437440 20546800 32874880 41093600 82187200 164374400
- Sum of all divisors σ(n): 419407680
- Sum of proper divisors (its aliquot sum) s(n): 255033280
- 164374400 is an abundant number, because the sum of its proper divisors (255033280) is greater than itself. Its abundance is 90658880
Bases of 164374400
- Binary: 10011100110000100111100000002
- Hexadecimal: 0x9CC2780
- Base-36: 2PV43K
Squares and roots of 164374400
- 164374400 squared (1643744002) is 27018943375360000
- 164374400 cubed (1643744003) is 4441222605958774784000000
-
The
square root of 164374400 is 12820.8580056093 -
The
cube root of 164374400 is 547.7865864071
Scales and comparisons
How big is 164374400?- 164,374,400 seconds is equal to 5 years, 11 weeks, 5 days, 11 hours, 33 minutes, 20 seconds.
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To count from 1 to 164,374,400 would take you about seven 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 164374400 cubic inches would be around 45.6 feet tall.
Recreational maths with 164374400
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