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34014040434 = 23211295923727
BaseRepresentation
bin11111101011011001…
…010001000101110010
310020210111102021200100
4133223121101011302
51024130043243214
623343102533230
72312620400433
oct375331210562
9106714367610
1034014040434
1113475048020
126713297216
133290b9145a
1419095b548a
15d41224309
hex7eb651172

34014040434 has 48 divisors (see below), whose sum is σ = 83169141120. Its totient is φ = 9951859680.

The previous prime is 34014040399. The next prime is 34014040447. The reversal of 34014040434 is 43404041043.

It is a junction number, because it is equal to n+sod(n) for n = 34014040398 and 34014040407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2956122 + ... + 2967605.

It is an arithmetic number, because the mean of its divisors is an integer number (1732690440).

Almost surely, 234014040434 is an apocalyptic number.

34014040434 is an abundant number, since it is smaller than the sum of its proper divisors (49155100686).

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

34014040434 is a wasteful number, since it uses less digits than its factorization.

34014040434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923775 (or 5923772 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34014040434 its reverse (43404041043), we get a palindrome (77418081477).

The spelling of 34014040434 in words is "thirty-four billion, fourteen million, forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 5742 5923727 11847454 17771181 35542362 53313543 65160997 106627086 130321994 171788083 195482991 343576166 390965982 515364249 586448973 1030728498 1172897946 1546092747 1889668913 3092185494 3779337826 5669006739 11338013478 17007020217 34014040434