346
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 522
- Proper Divisor Sum (Aliquot Sum)
- 176
- 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
- 172
- Möbius Function
- 1
- Radical
- 346
- Omega Function (Ω)
- 2
- 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
- yes
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- dreihundertsechsundvierzig· ordinal: dreihundertsechsundvierzigste
- English
- three hundred forty-six· ordinal: three hundred forty-sixth
- Spanish
- trescientos cuarenta y seis· ordinal: 346º
- French
- trois cent quarante-six· ordinal: trois cent quarante-sixième
- Italian
- trecentoquarantasei· ordinal: 346º
- Latin
- trecenti quadraginta sex· ordinal: 346.
- Portuguese
- trezentos e quarenta e seis· ordinal: 346º
Appears in sequences
- The Franel number a(n) = Sum_{k = 0..n} binomial(n,k)^3.at n=4A000172
- Number of stacks, or arrangements of n pennies in contiguous rows, each touching 2 in row below.at n=17A001524
- 2 together with primes multiplied by 2.at n=40A001747
- Expansion of q^(-1/4) * (eta(q^4) / eta(q))^2 in powers of q.at n=10A001936
- Numbers k such that (4*k^2 + 1)/5 is prime.at n=54A002732
- Positions of letter c in the tribonacci word abacabaabacababac... generated by a->ab, b->ac, c->a (cf. A092782).at n=55A003146
- Numbers that are the sum of 11 positive 4th powers.at n=41A003345
- Numbers that are the sum of 11 positive 5th powers.at n=14A003356
- Squarefree integers m such that the fundamental unit of Q(sqrt(m)) has norm -1. Also, squarefree integers m such that the Pell equation x^2 - m*y^2 = -1 is soluble.at n=54A003654
- a(0) = 1, a(n) = sum of digits of all previous terms.at n=39A004207
- a(n) = floor(100*log(n)).at n=31A004237
- a(n) = round(100*log_2(n)).at n=10A004263
- a(n) = ceiling(100*log_2(n)).at n=10A004264
- Primes written in base 7.at n=41A004681
- Numbers k such that 2*(2k-3)!/(k!*(k-1)!) is an integer.at n=38A004782
- Numbers k such that 3!*(2k-4)!/(k!*(k-1)!) is an integer.at n=48A004783
- Number of sub-Hamiltonian graphs with n nodes.at n=5A005144
- Noncototients: numbers k such that x - phi(x) = k has no solution.at n=34A005278
- 1 + (sum of first n odd primes - n)/2.at n=20A005521
- a(n) = 1 + Sum_{i=1..n} (n-i+1)*phi(i).at n=14A005598