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34344011034 = 2328353228421
BaseRepresentation
bin11111111111000100…
…000000010100011010
310021122111022112020200
4133333010000110122
51030314031323114
623435531203030
72324035164024
oct377704002432
9107574275220
1034344011034
11136243318a3
1267a58a6476
133314353a28
14193b34b014
15d601a3409
hex7ff10051a

34344011034 has 24 divisors (see below), whose sum is σ = 74421258132. Its totient is φ = 11446583040.

The previous prime is 34344011027. The next prime is 34344011059. The reversal of 34344011034 is 43011044343.

It can be written as a sum of positive squares in 2 ways, for example, as 33762960009 + 581051025 = 183747^2 + 24105^2 .

It is a super-2 number, since 2×343440110342 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34344010989 and 34344011007.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 36144 + ... + 264564.

Almost surely, 234344011034 is an apocalyptic number.

34344011034 is an abundant number, since it is smaller than the sum of its proper divisors (40077247098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34344011034 is a wasteful number, since it uses less digits than its factorization.

34344011034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236782 (or 236779 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34344011034 its reverse (43011044343), we get a palindrome (77355055377).

The spelling of 34344011034 in words is "thirty-four billion, three hundred forty-four million, eleven thousand, thirty-four".

Divisors: 1 2 3 6 9 18 8353 16706 25059 50118 75177 150354 228421 456842 685263 1370526 2055789 4111578 1908000613 3816001226 5724001839 11448003678 17172005517 34344011034