Math question: What is the product of 354, when multiplied by the sum of its digits added to one-third of its square root, then divided by its largest prime factor?

To solve this, we break it down step by step. Firstly, we find the sum of the digits: 3 + 5 + 4 = 12. Then, we calculate the square root of 354, which is approximately 18.798. One-third of 18.798 is approximately 6.266. Adding the sum of digits (12) to one-third of the square root (6.266), we get 18.266. Now, we need to find the largest prime factor of 354, which is 59. Finally, we multiply 354 by the sum of digits plus one-third of the square root, divided by the largest prime factor: 354 x (18.266 / 59) ≈ 108.06. Therefore, the result is approximately 108.06.

Math Question: What is the sum of the digits when we multiply 354 by the square root of 354 and subtract 354 multiplied by the difference between the cube root of 354 and 354 divided by 2?

To find the sum, let's break it down step by step. Step 1: Multiply 354 by the square root of 354: 354 * √354 = 63,072 Step 2: Find the difference between the cube root of 354 and 354 divided by 2: ∛354 - (354/2) = 7 - 177 = -170 Step 3: Multiply 354 and the result from step 2: 354 * (-170) = -60,180 Step 4: Subtract the result from step 3 from the result from step 1: 63,072 - (-60,180) = 123,252 Step 5: Find the sum of the digits in 123,252: 1 + 2 + 3 + 2 + 5 + 2 = 15

Math question: In how many different ways can we arrange the digits in the number 354?

To determine the number of arrangements possible for the given number, we need to consider that the digit 5 cannot be the leading digit (range is from 100 to 599). Therefore, we choose the leading digit (3 choices), and the remaining digits can be arranged in 2! = 2 ways. Using the multiplication principle, the total number of arrangements is given by 3 * 2 = 6. Answer explanation: The number 354 can be arranged in 6 different ways, namely: 345, 354, 435, 453, 534, and 543. The leading digit restricts the possible arrangements, leaving us with only 3 choices, and the remaining digits can be permuted in 2 ways. Hence, in total, we have 3 * 2 = 6 possible arrangements.

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

354 (number)

354 is an even 3-digits composite number following 353 and preceding 355. In scientific notation, it is written as 3.54 × 10^2. The sum of its digits is 12. It has a total of 3 prime factors and 8 positive divisors. There are 116 positive integers (up to 354) that are relatively prime to 354.

Interesting facts

354 has 8 divisors, whose sum is 720
The reverse of 354 is 453
Previous prime number is 3

Basic properties

Is Prime? no
Number parity even
Number length 3
Sum of Digits 12
Digital Root 3

Name

Name	three hundred fifty-four

Notation

Scientific notation	3.54 × 10^2
Engineering notation	3.54 × 10^0

Prime Factorization of 354

Prime Factorization 2 × 3 × 59

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	354	Product of the distinct prime numbers

The prime factorization of 354 is 2 × 3 × 59. Since it has a total of 3 prime factors.

Most popular turbo-numbers

7, 2, 40, 80, 718, 305, 177, 1643, 1698, 53315, 795660, 687166, 1689753, 2773292, 63790779, 25381077, 306298523, 651481043, 9012885036, 1213656800

Basic calculations (n = 354)

Multiplication

n×y

n×2	708
n×3	1062
n×4	1416
n×5	1770

Division

n÷y

n÷2	177
n÷3	118
n÷3	88.5
n÷5	70.8

Exponentiation

n^y

n²	125316
n³	44361864
n⁴	15704099856
n⁵	5559251349024

Nth Root

^y√n

²√n	18.814887722227
³√n	7.074043955105
⁴√n	4.3376131365334
⁵√n	3.2344515673634

Divisors of 354

1, 2, 3, 6, 59, 118, 177, 354

8 divisors

τ	Total Divisors	8	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-353	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.125	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	8	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 354 can be divided by 8 positive divisors. The sum of these divisors (counting 354) is 1, the average is 0.125.

Base conversion 354

Base	System	Value
2	Binary	101100010
3	Ternary	111010
4	Quaternary	11202
5	Quinary	2404
6	Senary	1350
8	Octal	542
10	Decimal	354
12	Duodecimal	256
16	Hexadecimal	162
20	Vigesimal	he
36	Base36	9u

Cryptographic Hash Functions

md5	8dd48d6a2e2cad213179a3992c0be53c
sha1	1a1162ec85b1d21244d7d3ecba5bc65878b73777
sha256	09a1b036b82baba3177d83c27c1f7d0beacaac6de1c5fdcc9680c49f638c5fb9
sha512	ec2ee7a7741a268e854ec1bb7519d4c00b4909fa9b1f61635f5d57ebfe6009ec365e45aabb79dcbdd90dc6989f602fe54778f5bd9cb3cf678abe2db70a37a52d
ripemd-160	dc2c96cd65c72c4e9173bff5a00fa7760f2ecf14

354 as geometric shapes

Circle

Radius = n

Diameter	708
Circumference	2224.2475987416
Area	393691.82497726

Sphere

Radius = n

Volume	185822541.38927
Surface area	1574767.299909
Circumference	2224.2475987416

Square

Length = n

Perimeter	1416
Area	125316
Diagonal	500.63160108008

Cube

Length = n

Surface area	751896
Volume	44361864
Space diagonal	613.14598587938

Equilateral Triangle

Length = n

Perimeter	1062
Area	54263.419750325
Altitude	306.57299293969

Triangular Pyramid

Length = n

Surface area	54263.419750325
Volume	5228095.8100792
Height	166.87720036003