234
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 546
- Proper Divisor Sum (Aliquot Sum)
- 312
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 72
- Möbius Function
- 0
- Radical
- 78
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 21
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
Classification
- Even
- yes
- Odd
- no
Names
- German
- zweihundertvierunddreißig· ordinal: zweihundertvierunddreißigste
- English
- two hundred thirty-four· ordinal: two hundred thirty-fourth
- Spanish
- doscientos treinta y cuatro· ordinal: 234º
- French
- deux cent trente-quatre· ordinal: deux cent trente-quatrième
- Italian
- duecentotrentaquattro· ordinal: 234º
- Latin
- ducenti triginta quattuor· ordinal: 234.
- Portuguese
- duzentos e trinta e quatro· ordinal: 234º
Appears in sequences
- 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); sequence gives values of n where |P(n)| sets a new record.at n=14A000092
- a(n) = floor(n^(3/2)).at n=38A000093
- Let A(n) = #{(i,j): i^2 + j^2 <= n}, V(n) = Pi*n, P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record.at n=12A000099
- Coefficients of iterated exponentials.at n=3A000310
- Essentially the same as A001611.at n=11A000381
- Number of compositions of n into 3 ordered relatively prime parts.at n=25A000741
- a(n) = Sum_{k = 1..n} floor(2^k / k).at n=9A000801
- Numbers that are divisible by at least three different primes.at n=38A000977
- Smallest even number that is an unordered sum of two odd primes in exactly n ways.at n=15A001172
- Number of cells of square lattice of edge 1/n inside quadrant of unit circle centered at 0.at n=17A001182
- a(n) is the solution to the postage stamp problem with 4 denominations and n stamps.at n=7A001209
- a(n) is the number of partitions of n into at most 3 parts; also partitions of n+3 in which the greatest part is 3; also number of unlabeled multigraphs with 3 nodes and n edges.at n=50A001399
- a(n) = Fibonacci(n) + 1.at n=13A001611
- Decimal concatenation of n, n+1, and n+2.at n=2A001703
- Expansion of g.f. x/((1 - x)^2*(1 - x^3)).at n=36A001840
- Triangular numbers plus quarter-squares: n*(n+1)/2 + floor((n+1)^2/4) (i.e., A000217(n) + A002620(n+1)).at n=17A001859
- Number of series-reduced planted trees with n+9 nodes and 4 internal nodes.at n=7A001860
- v-pile positions of the 4-Wythoff game with i=3.at n=44A001968
- Number of equivalence classes of binary sequences of primitive period n.at n=13A002730
- a(n) = nearest integer to n^(3/2).at n=38A002821