342
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
- 780
- Proper Divisor Sum (Aliquot Sum)
- 438
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 108
- Möbius Function
- 0
- Radical
- 114
- 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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 125
- 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
- dreihundertzweiundvierzig· ordinal: dreihundertzweiundvierzigste
- English
- three hundred forty-two· ordinal: three hundred forty-second
- Spanish
- trescientos cuarenta y dos· ordinal: 342º
- French
- trois cent quarante-deux· ordinal: trois cent quarante-deuxième
- Italian
- trecentoquarantadue· ordinal: 342º
- Latin
- trecenti quadraginta duo· ordinal: 342.
- Portuguese
- trezentos e quarenta e dois· ordinal: 342º
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=17A000092
- Heptagonal numbers (or 7-gonal numbers): n*(5*n-3)/2.at n=12A000566
- Number of monosubstituted alkanes C(n)H(2n+1)-X of the form shown in the Comments lines that are not stereoisomers.at n=14A000624
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 50, 100 cents.at n=50A001312
- Generalized Stirling numbers, [n+4,4]_3.at n=3A001711
- a(1)=2, a(2)=3; for n >= 3, a(n) is smallest number that is uniquely of the form a(j) + a(k) with 1 <= j < k < n.at n=59A001857
- 5th powers written backwards.at n=3A002118
- 5th powers written backwards.at n=30A002118
- Shuffling 2n cards.at n=28A002139
- Oblong (or promic, pronic, or heteromecic) numbers: a(n) = n*(n+1).at n=18A002378
- a(n) = 2*a(n-1) + 5*a(n-2), a(0) = 0, a(1) = 1.at n=6A002532
- a(n) = n*phi(n).at n=18A002618
- Quarter-squares: a(n) = floor(n/2)*ceiling(n/2). Equivalently, a(n) = floor(n^2/4).at n=37A002620
- Expansion of 1/((1-x)^3*(1-x^2)^2*(1-x^3)).at n=9A002625
- a(n) = 2*n*(2*n+1).at n=9A002943
- Number of pairings {(b(1), c(1)), (b(2), c(2)), ..., (b(n), c(n))} of the first 2n positive integers satisfying b(i) < c(i) and such that the 2n numbers c(i)+b(i) and c(i)-b(i) are all distinct.at n=7A002968
- Numbers that are the sum of 3 positive cubes.at n=42A003072
- Positions of letter c in the tribonacci word abacabaabacababac... generated by a->ab, b->ac, c->a (cf. A092782).at n=54A003146
- a(n) = A000201(A003234(n)) + n.at n=49A003248
- Numbers that are the sum of 7 positive 4th powers.at n=29A003341