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34324233242343 = 31122311294131313
BaseRepresentation
bin1111100110111101110111…
…01110101100011011100111
311111112100211211102202012120
413303132323232230123213
513444332012202223333
6201000200212521023
710141562332444212
oct763367356543347
9144470754382176
1034324233242343
11aa3390991a630
123a24324320173
13161c9b8788925
14869432020779
153e7cbab57db3
hex1f37bbbac6e7

34324233242343 has 32 divisors (see below), whose sum is σ = 50194473584640. Its totient is φ = 20690932515840.

The previous prime is 34324233242249. The next prime is 34324233242359.

34324233242343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34324233242343 - 241 = 32125209986791 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34324233242295 and 34324233242304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34324233242843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6242655 + ... + 10373967.

It is an arithmetic number, because the mean of its divisors is an integer number (1568577299520).

Almost surely, 234324233242343 is an apocalyptic number.

34324233242343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34324233242343 is a deficient number, since it is larger than the sum of its proper divisors (15870240342297).

34324233242343 is a wasteful number, since it uses less digits than its factorization.

34324233242343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132679.

The product of its digits is 2985984, while the sum is 42.

It can be divided in two parts, 3432423 and 3242343, that added together give a palindrome (6674766).

The spelling of 34324233242343 in words is "thirty-four trillion, three hundred twenty-four billion, two hundred thirty-three million, two hundred forty-two thousand, three hundred forty-three".

Divisors: 1 3 11 33 223 669 1129 2453 3387 7359 12419 37257 251767 755301 2769437 4131313 8308311 12393939 45444443 136333329 921282799 2763848397 4664252377 10134110789 13992757131 30402332367 51306776147 153920328441 1040128280071 3120384840213 11441411080781 34324233242343