Math question: If the number 3744 is multiplied by 3 and then divided by 8, what is the result?

To find the result, we need to multiply 3744 by 3, which gives us 11232. Then, dividing 11232 by 8, we get the final answer. 11232 ÷ 8 = 1404. Therefore, the result of multiplying 3744 by 3 and dividing by 8 is 1404.

Question: What is the least common multiple (LCM) of 3744 and 4?

To find the LCM, we can factorize both numbers: 3744 = 2^5 × 3^2 × 13 and 4 = 2^2. The LCM will have the highest power of each prime factor. Therefore, the LCM of 3744 and 4 is 2^5 × 3^2 × 13 = 12,288.

Math question: How many different ways can the number 3744 be written as a product of its prime factors?

To find the prime factorization of 3744, we divide it by successive primes: 3744 ÷ 2 = 1872, 1872 ÷ 2 = 936, 936 ÷ 2 = 468, 468 ÷ 2 = 234, 234 ÷ 2 = 117. Now, we divide it by the next prime, 3: 117 ÷ 3 = 39. Finally, dividing by the next prime, 13, we obtain 39 ÷ 13 = 3. Combining these primes, we have 2 × 2 × 2 × 2 × 2 × 3 × 13 = 2^5 × 3 × 13. Therefore, the prime factorization of 3744 is 2^5 × 3 × 13. Hence, there are 3 prime factors: 2, 3, and 13, each raised to the power of 5, 1, and 1 respectively. Thus, there are 3 ways to write 3744 as a product of its prime factors: 2^5 × 3 × 13, 2 × 3^1 × 13^1, and 2^1 × 3^1 × 13^1.

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

3744 (number)

3744 is an even 4-digits composite number following 3743 and preceding 3745. In scientific notation, it is written as 3.744 × 10^3. The sum of its digits is 18. It has a total of 8 prime factors and 36 positive divisors. There are 1152 positive integers (up to 3744) that are relatively prime to 3744.

Interesting facts

3744 has 36 divisors, whose sum is 11466
The reverse of 3744 is 4473
Previous prime number is 3

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 18
Digital Root 9

Name

Name	three thousand seven hundred forty-four

Notation

Scientific notation	3.744 × 10^3
Engineering notation	3.744 × 10^3

Prime Factorization of 3744

Prime Factorization 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	8	Total number of prime factors
rad	Radical	78	Product of the distinct prime numbers

The prime factorization of 3744 is 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13. Since it has a total of 8 prime factors.

Most popular turbo-numbers

4, 8, 88, 83, 201, 422, 2001, 3713, 59049, 86185, 733941, 810033, 4499542, 634795, 39012898, 38847718, 338397196, 818479019, 6742130276, 3357130425

Basic calculations (n = 3744)

Multiplication

n×y

n×2	7488
n×3	11232
n×4	14976
n×5	18720

Division

n÷y

n÷2	1872
n÷3	1248
n÷3	936
n÷5	748.8

Exponentiation

n^y

n²	14017536
n³	52481654784
n⁴	196491315511296
n⁵	735663485274292224

Nth Root

^y√n

²√n	61.188234163113
³√n	15.527872153313
⁴√n	7.82229085135
⁵√n	5.184025963971

Divisors of 3744

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872, 3744

36 divisors

τ	Total Divisors	36	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-3743	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.027777777777778	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	36	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 3744 can be divided by 36 positive divisors. The sum of these divisors (counting 3744) is 1, the average is 0.027777777777778.

Base conversion 3744

Base	System	Value
2	Binary	111010100000
3	Ternary	12010200
4	Quaternary	322200
5	Quinary	104434
6	Senary	25200
8	Octal	7240
10	Decimal	3744
12	Duodecimal	2200
16	Hexadecimal	ea0
20	Vigesimal	974
36	Base36	2w0

Cryptographic Hash Functions

md5	56517f19aa289885c43e8db9137fb1b0
sha1	cf294fc7247e78039454fd921aeb1e91f0373ad8
sha256	a08c5cfffde5bb7d1d03a68762066e08f83f39ac5c7c9e971ec482b014fec12a
sha512	4768aa3b32f25520da5386bf1ec54cf5e50e55da45ed87d7acbc30a3f6e3aa8bb51c47f72cce72f0e1f3650f1f660d286ad376d46a64bf2d0217cc3f4235882a
ripemd-160	ff03b893188038447825a510b93ede63c2dc5ef8

3744 as geometric shapes

Circle

Radius = n

Diameter	7488
Circumference	23524.24579008
Area	44037388.11903

Sphere

Radius = n

Volume	219834641490.2
Surface area	176149552.47612
Circumference	23524.24579008

Square

Length = n

Perimeter	14976
Area	14017536
Diagonal	5294.8155775249

Cube

Length = n

Surface area	84105216
Volume	52481654784
Space diagonal	6484.7982235379

Equilateral Triangle

Length = n

Perimeter	11232
Area	6069771.1372315
Altitude	3242.3991117689

Triangular Pyramid

Length = n

Surface area	6069771.1372315
Volume	6185022330.943
Height	1764.9385258416