Search a number
-
+
34324533542343 = 3113743653763281
BaseRepresentation
bin1111100110111110011011…
…01000001111110111000111
311111112101121202111120100210
413303133031220033313013
513444333121041323333
6201000250101210503
710141602640113342
oct763371550176707
9144471552446323
1034324533542343
11aa33a53389450
123a243a8a00a33
13161ca35a60135
1486945dc71459
153e7cd71c5a63
hex1f37cda0fdc7

34324533542343 has 32 divisors (see below), whose sum is σ = 52468425960192. Its totient is φ = 19769801587200.

The previous prime is 34324533542311. The next prime is 34324533542359.

It is a happy number.

34324533542343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34324533542343 - 25 = 34324533542311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34324533542292 and 34324533542301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34324533543343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326829138 + ... + 326934143.

It is an arithmetic number, because the mean of its divisors is an integer number (1639638311256).

Almost surely, 234324533542343 is an apocalyptic number.

34324533542343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34324533542343 is a deficient number, since it is larger than the sum of its proper divisors (18143892417849).

34324533542343 is a wasteful number, since it uses less digits than its factorization.

34324533542343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653763375.

The product of its digits is 18662400, while the sum is 48.

It can be divided in two parts, 3432453 and 3542343, that added together give a palindrome (6974796).

The spelling of 34324533542343 in words is "thirty-four trillion, three hundred twenty-four billion, five hundred thirty-three million, five hundred forty-two thousand, three hundred forty-three".

Divisors: 1 3 11 33 37 43 111 129 407 473 1221 1419 1591 4773 17501 52503 653763281 1961289843 7191396091 21574188273 24189241397 28111821083 72567724191 84335463249 266081655367 309230031913 798244966101 927690095739 1040137380071 3120412140213 11441511180781 34324533542343