Question: A cube with side length 3440 cm is divided into smaller cubes with side length 10 cm. How many smaller cubes are needed to completely fill the larger cube?

To find the volume of the larger cube, we calculate 3440^3 = 42,279,424,000 cm^3. Since each smaller cube has a volume of 10^3 = 1000 cm^3, we divide the volume of the larger cube by the volume of each smaller cube to determine the number of smaller cubes required. Thus, 42,279,424,000 cm^3 / 1000 cm^3 = 42,279,424 smaller cubes are needed to completely fill the larger cube.

Math question: What is the least number that is divisible by 16, 20, and 43, and leaves a remainder of 12 when divided by 35?

To find the least common multiple (LCM) of 16, 20, and 43, we can break down each number into its prime factors. 16 = 2^4, 20 = 2^2 * 5, and 43 is a prime number. Taking the highest power for each prime factor, the LCM is 2^4 * 5 * 43 = 3440. Since this number must also leave a remainder of 12 when divided by 35, one possible solution is 12 + 3440 = 3452. Therefore, 3452 is the least number divisible by 16, 20, and 43, leaving a remainder of 12 when divided by 35.

Math Question: How many three-digit numbers can be formed using the digits 3, 4, and 0, without repetition?

To calculate the number of three-digit numbers without repetition using the digits 3, 4, and 0, we need to consider the choices for each position. For the hundreds place, we have three options (3, 4, and 0). Once we choose one digit, we're left with two choices for the tens place. Finally, for the units place, only one digit remains. Therefore, by the multiplication principle, the total number of three-digit numbers without repetition is 3 × 2 × 1 = 6. Thus, there are six three-digit numbers (e.g., 340, 304, 430, 403, 043, and 034) that can be formed using the digits 3, 4, and 0 without repetition.

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

3440 (number)

3440 is an even 4-digits composite number following 3439 and preceding 3441. In scientific notation, it is written as 3.440 × 10^3. The sum of its digits is 11. It has a total of 6 prime factors and 20 positive divisors. There are 1344 positive integers (up to 3440) that are relatively prime to 3440.

Interesting facts

3440 has 20 divisors, whose sum is 8184
The reverse of 3440 is 0443
Previous prime number is 43

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 11
Digital Root 2

Name

Name	three thousand four hundred forty

Notation

Scientific notation	3.440 × 10^3
Engineering notation	3.440 × 10^3

Prime Factorization of 3440

Prime Factorization 2 × 2 × 2 × 2 × 43 × 5

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	6	Total number of prime factors
rad	Radical	430	Product of the distinct prime numbers

The prime factorization of 3440 is 2 × 2 × 2 × 2 × 43 × 5. Since it has a total of 6 prime factors.

Most popular turbo-numbers

6, 3, 37, 77, 133, 744, 380, 6062, 82325, 79066, 42588, 219632, 7591503, 819860, 3015323, 96854089, 820405291, 454047584, 5352717463, 9377400589

Basic calculations (n = 3440)

Multiplication

n×y

n×2	6880
n×3	10320
n×4	13760
n×5	17200

Division

n÷y

n÷2	1720
n÷3	1146.6666666667
n÷3	860
n÷5	688

Exponentiation

n^y

n²	11833600
n³	40707584000
n⁴	140034088960000
n⁵	481717266022400000

Nth Root

^y√n

²√n	58.651513194461
³√n	15.095684628575
⁴√n	7.6584275928196
⁵√n	5.0969654359105

Divisors of 3440

1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720, 3440

20 divisors

τ	Total Divisors	20	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-3439	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.05	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	20	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 3440 can be divided by 20 positive divisors. The sum of these divisors (counting 3440) is 1, the average is 0.05.

Base conversion 3440

Base	System	Value
2	Binary	110101110000
3	Ternary	11201102
4	Quaternary	311300
5	Quinary	102230
6	Senary	23532
8	Octal	6560
10	Decimal	3440
12	Duodecimal	1ba8
16	Hexadecimal	d70
20	Vigesimal	8c0
36	Base36	2nk

Cryptographic Hash Functions

md5	7de32147a4f1055bed9e4faf3485a84d
sha1	bbf4889e253924ac30c7637f0c26d73f8c747398
sha256	d55f9f377e5f62397fd8db6c7f490530240028d4e12cc902191001e205ae69d9
sha512	b085ceaa7712f2888f127817d276b3130fd767bc4920dfa61bc83e025b6fdcf43f6924cf6d8ac55f144fcb15102d208e9fa7c26993d7142e01a0f68aa8c69179
ripemd-160	4cf58d8633ac8a5904bd36e648445925b09385f8

3440 as geometric shapes

Circle

Radius = n

Diameter	6880
Circumference	21614.157456698
Area	37176350.82552

Sphere

Radius = n

Volume	170515529119.72
Surface area	148705403.30208
Circumference	21614.157456698

Square

Length = n

Perimeter	13760
Area	11833600
Diagonal	4864.8946545634

Cube

Length = n

Surface area	71001600
Volume	40707584000
Space diagonal	5958.2547780369

Equilateral Triangle

Length = n

Perimeter	10320
Area	5124099.1091118
Altitude	2979.1273890185

Triangular Pyramid

Length = n

Surface area	5124099.1091118
Volume	4797434782.0202
Height	1621.6315515211