344
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 660
- Proper Divisor Sum (Aliquot Sum)
- 316
- 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
- 168
- Möbius Function
- 0
- Radical
- 86
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- no
- Narcissistic Number
- no
- Collatz Steps
- 32
- 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
- dreihundertvierundvierzig· ordinal: dreihundertvierundvierzigste
- English
- three hundred forty-four· ordinal: three hundred forty-fourth
- Spanish
- trescientos cuarenta y cuatro· ordinal: 344º
- French
- trois cent quarante-quatre· ordinal: trois cent quarante-quatrième
- Italian
- trecentoquarantaquattro· ordinal: 344º
- Latin
- trecenti quadraginta quattuor· ordinal: 344.
- Portuguese
- trezentos e quarenta e quatro· ordinal: 344º
Appears in sequences
- Number of nonnegative solutions to x^2 + y^2 + z^2 <= n^2.at n=8A000604
- Number of partitions of n, with three kinds of 1 and 2 and two kinds of 3,4,5,....at n=7A000714
- Number of solutions to the rook problem on an n X n board having a certain symmetry group (see Robinson for details).at n=8A000900
- a(n) = n^3 + 1.at n=8A001093
- sigma_3(n): sum of cubes of divisors of n.at n=6A001158
- Numbers that are the sum of 3 nonnegative cubes in more than 1 way.at n=2A001239
- Numbers that are the sum of 4 cubes in more than 1 way.at n=16A001245
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^4)/(1-x^10)/(1-x^20).at n=20A001307
- Partial sums of A001462; also a(n) is the last occurrence of n in A001462.at n=43A001463
- a(n+6) = -a(n+5) + a(n+4) + 3a(n+3) + a(n+2) - a(n+1) - a(n). a(n) = sign(n) if abs(n)<=3.at n=21A001945
- Expansion of 1/((1-x^2)*(1-x^4)^2*(1-x^6)*(1-x^8)*(1-x^10)) (even powers only).at n=17A001994
- Sum of totient function: a(n) = Sum_{k=1..n} phi(k), cf. A000010.at n=33A002088
- Number of partitions of n with exactly two part sizes.at n=45A002133
- Expansion of 8-dimensional cusp form.at n=7A002408
- Numbers k such that binomial(2*k,k) is divisible by (k+1)^2.at n=32A002503
- Numbers that are the sum of 3 positive cubes.at n=43A003072
- Coefficients in expansion of permanent of infinite tridiagonal matrix shown below.at n=35A003113
- Numbers that are the sum of 2 positive cubes.at n=20A003325
- Numbers that are the sum of 9 positive 4th powers.at n=35A003343
- Numbers that are the sum of 9 positive 5th powers.at n=13A003354