328225248
328,225,248 is an even composite number composed of five prime numbers multiplied together.
328225248 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 328225248:
25 × 32 × 13 × 29 × 3023
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 29 × 3023)See below for interesting mathematical facts about the number 328225248 from the Numbermatics database.
Names of 328225248
- Cardinal: 328225248 can be written as Three hundred twenty-eight million, two hundred twenty-five thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 3.28225248 × 108
Factors of 328225248
Divisors of 328225248
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 58 72 78 87 96 104 116 117 144 156 174 208 232 234 261 288 312 348 377 416 464 468 522 624 696 754 928 936 1044 1131 1248 1392 1508 1872 2088 2262 2784 3016 3023 3393 3744 4176 4524 6032 6046 6786 8352 9048 9069 12064 12092 13572 18096 18138 24184 27144 27207 36192 36276 39299 48368 54288 54414 72552 78598 87667 96736 108576 108828 117897 145104 157196 175334 217656 235794 263001 290208 314392 350668 353691 435312 471588 526002 628784 701336 707382 789003 870624 943176 1052004 1139671 1257568 1402672 1414764 1578006 1886352 2104008 2279342 2805344 2829528 3156012 3419013 3772704 4208016 4558684 5659056 6312024 6838026 8416032 9117368 10257039 11318112 12624048 13676052 18234736 20514078 25248096 27352104 36469472 41028156 54704208 82056312 109408416 164112624 328225248
- Sum of all divisors σ(n): 1040195520
- Sum of proper divisors (its aliquot sum) s(n): 711970272
- 328225248 is an abundant number, because the sum of its proper divisors (711970272) is greater than itself. Its abundance is 383745024
Bases of 328225248
- Binary: 100111001000001010001111000002
- Hexadecimal: 0x139051E0
- Base-36: 5FF080
Squares and roots of 328225248
- 328225248 squared (3282252482) is 107731813424661504
- 328225248 cubed (3282252483) is 35360301178799251466452992
-
The
square root of 328225248 is 18116.9878291067 -
The
cube root of 328225248 is 689.8012786271
Scales and comparisons
How big is 328225248?- 328,225,248 seconds is equal to 10 years, 22 weeks, 4 days, 21 hours, 40 minutes, 48 seconds.
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To count from 1 to 328,225,248 would take you about fifteen 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 328225248 cubic inches would be around 57.5 feet tall.
Recreational maths with 328225248
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