Question: If 384 is multiplied by the sum of its digits, raised to the power of the largest digit, what is the result?

To find the answer, we first add the digits of 384 → 3 + 8 + 4 = 15. Then, we raise this sum to the power of the largest digit, which is 8. Next, we multiply 384 by 15^8, resulting in a very large number. The exact value is 282429536481280.

Math question: What is the maximum number of even factors of 384?

To find the maximum number of even factors of 384, we need to prime factorize it. 384 can be written as 2^7 × 3^1. For a factor to be even, it must contain at least one power of 2. Since 2 can appear as an exponent from 0 to 7, we have 8 choices for the power of 2. The other factor, 3, can only be present as 3^0 or 3^1. Therefore, for each power of 2, we can have 2 (as 3^0 or 3^1) choices for the power of 3. Multiplying these choices (8 × 2), we get 16, which represents the maximum number of even factors for 384.

Math question: What is the smallest prime number that divides the number 384?

To find the prime factors of 384, we divide it by the smallest prime number 2, resulting in 192. Dividing 192 by 2 again, we get 96. Repeating this process, we find that 96 divided by 2 is 48, then 48 divided by 2 is 24, and finally 24 divided by 2 is 12. Now, we can stop dividing by 2, as it is no longer a factor of 12. Continuing with the next prime number, 3, we find that 12 divided by 3 is 4. But again, we can't divide 4 by 3 anymore. Thus, the final prime factor we obtain is 4, which means the smallest prime number that divides 384 is 2.

Max	9223372036854775807
25835	Positive integer
0b10001100	Binary number
01771452	Octal number
0x129abf	Hex number
5.012 * 10^7	Scientific notation
2^4 * 5	Factorized form
*	Random number

384 (number)

384 is an even 3-digits composite number following 383 and preceding 385. In scientific notation, it is written as 3.84 × 10^2. The sum of its digits is 15. It has a total of 8 prime factors and 16 positive divisors. There are 128 positive integers (up to 384) that are relatively prime to 384.

Interesting facts

384 has 16 divisors, whose sum is 1020
The reverse of 384 is 483
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 3
Sum of Digits 15
Digital Root 6

Name

Name	three hundred eighty-four

Notation

Scientific notation	3.84 × 10^2
Engineering notation	3.84 × 10^0

Prime Factorization of 384

Prime Factorization 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	8	Total number of prime factors
rad	Radical	6	Product of the distinct prime numbers

The prime factorization of 384 is 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3. Since it has a total of 8 prime factors.

Most popular turbo-numbers

6, 3, 48, 19, 934, 948, 3594, 1614, 72587, 14380, 401464, 577015, 5380503, 123247, 62600780, 15542240, 290667814, 977370373, 2281366890, 9108432300

Basic calculations (n = 384)

Multiplication

n×y

n×2	768
n×3	1152
n×4	1536
n×5	1920

Division

n÷y

n÷2	192
n÷3	128
n÷3	96
n÷5	76.8

Exponentiation

n^y

n²	147456
n³	56623104
n⁴	21743271936
n⁵	8349416423424

Nth Root

^y√n

²√n	19.595917942265
³√n	7.2684823713286
⁴√n	4.4267276788013
⁵√n	3.2875036590345

Divisors of 384

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

16 divisors

τ	Total Divisors	16	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-383	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.0625	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	1	Returns the nth root of the product of n divisors
H	Harmonic Mean	16	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 384 can be divided by 16 positive divisors. The sum of these divisors (counting 384) is 1, the average is 0.0625.

Base conversion 384

Base	System	Value
2	Binary	110000000
3	Ternary	112020
4	Quaternary	12000
5	Quinary	3014
6	Senary	1440
8	Octal	600
10	Decimal	384
12	Duodecimal	280
16	Hexadecimal	180
20	Vigesimal	j4
36	Base36	ao

Cryptographic Hash Functions

md5	0584ce565c824b7b7f50282d9a19945b
sha1	b741f2520f68d7b8abfecea2d88015fc823ef8bb
sha256	37b73510175057c633ebe4beb0a34917fa2a0696432db43a4eeb2c3ff83a4c3b
sha512	6923fb884a330a38e5eb27910f67a0fb51994475678098eeb6eb88e4b03b12e23a74772f01616aa3725b5adef1943cb12dbe2b27cc8bc85ebf70d5843150d0bf
ripemd-160	95a7eb545e773470f5930be0094b28f153b433ee

384 as geometric shapes

Circle

Radius = n

Diameter	768
Circumference	2412.743157957
Area	463246.68632774

Sphere

Radius = n

Volume	237182303.3998
Surface area	1852986.7453109
Circumference	2412.743157957

Square

Length = n

Perimeter	1536
Area	147456
Diagonal	543.05800795127

Cube

Length = n

Surface area	884736
Volume	56623104
Space diagonal	665.10751010645

Equilateral Triangle

Length = n

Perimeter	1152
Area	63850.320970219
Altitude	332.55375505322

Triangular Pyramid

Length = n

Surface area	63850.320970219
Volume	6673096.8017052
Height	181.01933598376