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34443434443 = 1121726716269
BaseRepresentation
bin100000000100111111…
…010001100111001011
310021220102101202112011
4200010333101213023
51031020004400233
623453442200351
72326353235135
oct400477214713
9107812352464
1034443434443
111367546a100
1268130530b7
13332bb24c52
14194a62c055
15d68c920cd
hex804fd19cb

34443434443 has 24 divisors (see below), whose sum is σ = 40107735360. Its totient is φ = 29454585600.

The previous prime is 34443434393. The next prime is 34443434483.

34443434443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34443434443 - 29 = 34443433931 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34443434396 and 34443434405.

It is not an unprimeable number, because it can be changed into a prime (34443434483) 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 23 ways as a sum of consecutive naturals, for example, 5491113 + ... + 5497381.

It is an arithmetic number, because the mean of its divisors is an integer number (1671155640).

Almost surely, 234443434443 is an apocalyptic number.

34443434443 is a deficient number, since it is larger than the sum of its proper divisors (5664300917).

34443434443 is a wasteful number, since it uses less digits than its factorization.

34443434443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8979 (or 8968 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 40.

The spelling of 34443434443 in words is "thirty-four billion, four hundred forty-three million, four hundred thirty-four thousand, four hundred forty-three".

Divisors: 1 11 17 121 187 2057 2671 6269 29381 45407 68959 106573 323191 499477 758549 1172303 5494247 12895333 16744499 184189489 284656483 2026084379 3131221313 34443434443