Search a number
-
+
34343834343 = 3713373400043
BaseRepresentation
bin11111111111000011…
…010101001011100111
310021122110222112212120
4133333003111023213
51030314010144333
623435523321023
72324033526630
oct377703251347
9107573875776
1034343834343
1113624221075
1267a5820173
1333142c1490
14193b302887
15d6016adb3
hex7ff0d52e7

34343834343 has 32 divisors (see below), whose sum is σ = 57882349056. Its totient is φ = 17625817728.

The previous prime is 34343834279. The next prime is 34343834363.

34343834343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34343834343 - 26 = 34343834279 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 34343834295 and 34343834304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34343834363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1689921 + ... + 1710122.

It is an arithmetic number, because the mean of its divisors is an integer number (1808823408).

Almost surely, 234343834343 is an apocalyptic number.

34343834343 is a deficient number, since it is larger than the sum of its proper divisors (23538514713).

34343834343 is a wasteful number, since it uses less digits than its factorization.

34343834343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400103.

The product of its digits is 1492992, while the sum is 42.

The spelling of 34343834343 in words is "thirty-four billion, three hundred forty-three million, eight hundred thirty-four thousand, three hundred forty-three".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 1443 3367 10101 3400043 10200129 23800301 44200559 71400903 125801591 132601677 309403913 377404773 880611137 928211739 1635420683 2641833411 4906262049 11447944781 34343834343