34
domain: N
Properties
Digital Properties
- Digit Count
- 2
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 54
- Proper Divisor Sum (Aliquot Sum)
- 20
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 16
- Möbius Function
- 1
- Radical
- 34
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- yes
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 13
- Smith Number
- no
Classification
- Natural
- yes
- Even
- yes
- Odd
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Names
- German
- vierunddreißig· ordinal: vierunddreißigste
- English
- thirty-four· ordinal: thirty-fourth
- Spanish
- treinta y cuatro· ordinal: 34º
- French
- trente-quatre· ordinal: trente-quatrième
- Italian
- trentaquattro· ordinal: 34º
- Latin
- triginta quattuor· ordinal: 34.
- Portuguese
- trinta e quatro· ordinal: 34º
Appears in sequences
- Number of ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=19A000008
- Coefficients of the 3rd-order mock theta function f(q).at n=19A000025
- Mosaic numbers or multiplicative projection of n: if n = Product (p_j^k_j) then a(n) = Product (p_j * k_j).at n=33A000026
- The positive integers. Also called the natural numbers, the whole numbers or the counting numbers, but these terms are ambiguous.at n=33A000027
- Numbers that are not squares (or, the nonsquares).at n=28A000037
- Dying rabbits: a(0) = 1; for 1 <= n <= 12, a(n) = Fibonacci(n); for n >= 13, a(n) = a(n-1) + a(n-2) - a(n-13).at n=9A000044
- Local stops on New York City 1 Train (Broadway-7 Avenue Local) subway.at n=4A000053
- Local stops on New York City A line subway.at n=3A000054
- A Beatty sequence: a(n) = floor(n/(e-2)).at n=24A000062
- Numbers k such that k^4 + 1 is prime.at n=8A000068
- Number of simple graphs on n unlabeled nodes.at n=5A000088
- Number of n-node triangulations of sphere in which every node has degree >= 4.at n=7A000103
- Denumerants: Expansion of 1/((1-x)*(1-x^2)*(1-x^5)).at n=22A000115
- Positive zeros of Bessel function of order 0 rounded to nearest integer.at n=10A000134
- Series-parallel numbers.at n=2A000163
- Coefficient of q^(2n-1) in the series expansion of Ramanujan's mock theta function f(q).at n=9A000199
- a(8i+j) = 13i + a(j), where 1<=j<=8.at n=20A000202
- A Beatty sequence: floor(n*(e-1)).at n=19A000210
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); A000092 gives values of n where |P(n)| sets a new record; sequence gives (nearest integer to, I believe) P(A000092(n)).at n=5A000223
- Number of squares mod n.at n=66A000224