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346143341643 = 31171977151213
BaseRepresentation
bin1010000100101111100…
…00000011110001001011
31020002110022202122200120
411002113300003301023
521132400143413033
6423003245034323
734002516600231
oct5022760036113
91202408678616
10346143341643
1112388698a8a0
12571028559a3
1326844887268
1412a79592951
15900d6951b3
hex5097c03c4b

346143341643 has 32 divisors (see below), whose sum is σ = 511098481152. Its totient is φ = 206616076800.

The previous prime is 346143341639. The next prime is 346143341651.

346143341643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 346143341643 - 22 = 346143341639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 346143341595 and 346143341604.

It is not an unprimeable number, because it can be changed into a prime (346143341683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2213505 + ... + 2364717.

It is an arithmetic number, because the mean of its divisors is an integer number (15971827536).

Almost surely, 2346143341643 is an apocalyptic number.

346143341643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

346143341643 is a deficient number, since it is larger than the sum of its proper divisors (164955139509).

346143341643 is a wasteful number, since it uses less digits than its factorization.

346143341643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152275.

The product of its digits is 746496, while the sum is 42.

It can be divided in two parts, 346143 and 341643, that added together give a palindrome (687786).

The spelling of 346143341643 in words is "three hundred forty-six billion, one hundred forty-three million, three hundred forty-one thousand, six hundred forty-three".

Divisors: 1 3 11 33 71 213 781 977 2343 2931 10747 32241 69367 151213 208101 453639 763037 1663343 2289111 4990029 10736123 32208369 118097353 147735101 354292059 443205303 1625086111 4875258333 10489192171 31467576513 115381113881 346143341643