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34338368935 = 51321721111329
BaseRepresentation
bin11111111110101110…
…011110110110100111
310021122002200212202001
4133332232132312213
51030311110301220
623435210230131
72323636214533
oct377656366647
9107562625661
1034338368935
1113621128902
1267a3a25347
133313129900
14193a6bcbc3
15d5e93b80a
hex7feb9eda7

34338368935 has 48 divisors (see below), whose sum is σ = 47472337440. Its totient is φ = 23750737920.

The previous prime is 34338368893. The next prime is 34338368947. The reversal of 34338368935 is 53986383343.

It is a happy number.

It is not a de Polignac number, because 34338368935 - 215 = 34338336167 is a prime.

It is a super-2 number, since 2×343383689352 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3025351 + ... + 3036679.

It is an arithmetic number, because the mean of its divisors is an integer number (989007030).

Almost surely, 234338368935 is an apocalyptic number.

34338368935 is a deficient number, since it is larger than the sum of its proper divisors (13133968505).

34338368935 is a wasteful number, since it uses less digits than its factorization.

34338368935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11588 (or 11575 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 55.

The spelling of 34338368935 in words is "thirty-four billion, three hundred thirty-eight million, three hundred sixty-eight thousand, nine hundred thirty-five".

Divisors: 1 5 13 17 65 85 169 211 221 845 1055 1105 2743 2873 3587 11329 13715 14365 17935 35659 46631 56645 147277 178295 192593 233155 606203 736385 962965 1914601 2390419 2503709 3031015 9573005 11952095 12518545 31075447 32548217 40637123 155377235 162741085 203185615 403980811 528282599 2019904055 2641412995 6867673787 34338368935