294
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 684
- Proper Divisor Sum (Aliquot Sum)
- 390
- 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
- 84
- Möbius Function
- 0
- Radical
- 42
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 117
- 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
- zweihundertvierundneunzig· ordinal: zweihundertvierundneunzigste
- English
- two hundred ninety-four· ordinal: two hundred ninety-fourth
- Spanish
- doscientos noventa y cuatro· ordinal: 294º
- French
- deux cent quatre-vingt-quatorze· ordinal: deux cent quatre-vingt-quatorzième
- Italian
- duecentonovantaquattro· ordinal: 294º
- Latin
- ducenti nonaginta quattuor· ordinal: 294.
- Portuguese
- duzentos e noventa e quatro· ordinal: 294º
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); A000092 gives values of n where |P(n)| sets a new record; sequence gives (nearest integer to, I believe) P(A000092(n)).at n=19A000223
- Number of partitions into non-integral powers.at n=10A000327
- Number of rooted cubic maps with 2n nodes and a distinguished Hamiltonian cycle: (2n)!(2n+1)! / (n!^2*(n+1)!(n+2)!).at n=3A000356
- Boustrophedon transform of all-1's sequence.at n=6A000667
- Expansion of Product_{k>=0} (1 + x^(2k+1)); number of partitions of n into distinct odd parts; number of self-conjugate partitions; number of symmetric Ferrers graphs with n nodes.at n=65A000700
- Number of cells of square lattice of edge 1/n inside quadrant of unit circle centered at 0.at n=19A001182
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^4)/(1-x^10)/(1-x^20).at n=19A001307
- Numbers k for which the rank of the elliptic curve y^2 = x^3 - k is 2.at n=39A002154
- Numbers k for which the rank of the elliptic curve y^2 = x^3 + k is 2.at n=43A002155
- Numbers k such that the k-th tetrahedral number is the sum of 2 tetrahedral numbers.at n=11A002311
- Degree of rational Poncelet porism of n-gon.at n=46A002348
- Number of ways of folding a strip of n rectangular stamps.at n=7A002369
- Number of partitions into one kind of 1's, two kinds of 2's, and three kinds of 3's.at n=14A002597
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=7A002653
- Numbers k such that (4*k^2 + 1)/5 is prime.at n=47A002732
- Problimes (third definition).at n=51A003068
- Number of rooted trees with n vertices in which vertices at the same level have the same degree.at n=27A003238
- Numbers that are the sum of 9 positive 4th powers.at n=30A003343
- Numbers k such that cos(k-1) <= 0 and cos(k) > 0.at n=46A004083
- a(n) = floor(100*log(n)).at n=18A004237