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The number 374

374 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 17. Divisors (8): 1, 2, 11, 17, 22, 34, 187, 374.

Number

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How to work it out

  1. 1

    374 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    374 is composite. Its prime factorisation is

    374=2×11×17374 = 2 \times 11 \times 17
  3. 3

    The divisors add up to 648; without 374 itself that is 274, so 374 is deficient (274 is less than 374). Euler's totient φ(374) = 160 numbers up to 374 share no factor with it.

  4. 4

    The digits of 374 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.

LaTeX source of the formulas on this page
\[ 374 = 2 \times 11 \times 17 \]

374 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors648
Euler totient φ(n)160
Square139876
Cube52313624
Square root19.339080
Digit sum / digital root14 / 5
Collatz steps to 145
Scientific notation3.74 × 10210^{2}

374 in other forms

FormValue
In wordsthree hundred and seventy-four
Roman numeralsCCCLXXIV
Binary (base 2)101110110
Octal (base 8)566
Hexadecimal (base 16)176
Base 3111212
As time374 seconds = 6 min 14 s

Is 374 divisible by 2 to 12?

DivisorAnswerRule
2Yes (374 ÷ 2 = 187)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)A number is divisible by 10 if the last digit is 0.
11Yes (374 ÷ 11 = 34)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 374 a prime number?

No. 374 = 2 × 11 × 17, so it is divisible by 2.

What are the factors of 374?

1, 2, 11, 17, 22, 34, 187, 374.

What is 374 in binary?

101110110 (hexadecimal 176, octal 566).

What is the square root of 374?

About 19.3391.

What is 374 in Roman numerals?

CCCLXXIV.

Is 374 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 374?

It is a composite number with 8 divisors.

All about 374

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    374: is it prime? Factors, square root, binary, Roman numeral | WordGPT