330
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 864
- Proper Divisor Sum (Aliquot Sum)
- 534
- 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
- 80
- Möbius Function
- 1
- Radical
- 330
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
- 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
- 112
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
Classification
- Even
- yes
- Odd
- no
Names
- German
- dreihundertdreißig· ordinal: dreihundertdreißigste
- English
- three hundred thirty· ordinal: three hundred thirtieth
- Spanish
- trescientos treinta· ordinal: 330º
- French
- trois cent trente· ordinal: trois cent trentième
- Italian
- trecentotrenta· ordinal: 330º
- Latin
- trecenti triginta· ordinal: 330.
- Portuguese
- trezentos e trinta· ordinal: 330º
Appears in sequences
- Number of binary partitions: number of partitions of 2n into powers of 2.at n=19A000123
- Number of partitions into non-integral powers.at n=7A000160
- Pentagonal numbers: a(n) = n*(3*n-1)/2.at n=15A000326
- Binomial coefficient binomial(n,4) = n*(n-1)*(n-2)*(n-3)/24.at n=11A000332
- a(n) = binomial coefficient C(n,7).at n=4A000580
- Expansion of Product_{k >= 1} (1 - x^k)^6.at n=43A000729
- Number of switching networks under action of AG_n(Z_2) acting on 3 variables.at n=1A000821
- Euler's "numerus idoneus" (or "numeri idonei", or idoneal, or suitable, or convenient numbers).at n=53A000926
- Expansion of g.f. (1 + x + 2*x^2)/((1 - x)^2*(1 - x^3)).at n=21A000969
- Numbers that are the sum of 2 successive primes.at n=37A001043
- Number of black-rooted red-black trees with n internal nodes.at n=10A001137
- Smallest even number that is an unordered sum of two odd primes in exactly n ways.at n=24A001172
- Leech triangle: k-th number (0 <= k <= n) in n-th row (0 <= n) is number of octads in S(5,8,24) containing k given points and missing n-k given points.at n=3A001293
- Generalized pentagonal numbers: m*(3*m - 1)/2, m = 0, +-1, +-2, +-3, ....at n=29A001318
- Number of stacks, or planar partitions of n; also weakly unimodal compositions of n.at n=11A001523
- Dimensions of the Jordan operad.at n=5A001776
- The coding-theoretic function A(n,4,3).at n=44A001839
- Expansion of g.f. x/((1 - x)^2*(1 - x^3)).at n=43A001840
- Numbers dividing A002037(i) and larger than A002037(i-1), for some i>0.at n=29A002038
- Binomial coefficient C(2n+1, n-1).at n=4A002054