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34014422034 = 2326091310243
BaseRepresentation
bin11111101011011010…
…101110010000010010
310020210112010200010200
4133223122232100102
51024130143001114
623343115040030
72312623550115
oct375332562022
9106715120120
1034014422034
111347528879a
126713440016
133290c96058
14190967457c
15d4129c409
hex7eb6ae412

34014422034 has 24 divisors (see below), whose sum is σ = 73710251472. Its totient is φ = 11336242680.

The previous prime is 34014422033. The next prime is 34014422081. The reversal of 34014422034 is 43022441043.

It is a happy number.

34014422034 is a `hidden beast` number, since 3 + 401 + 4 + 4 + 220 + 34 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34014421989 and 34014422007.

It is not an unprimeable number, because it can be changed into a prime (34014422033) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 45484 + ... + 264759.

It is an arithmetic number, because the mean of its divisors is an integer number (3071260478).

Almost surely, 234014422034 is an apocalyptic number.

34014422034 is an abundant number, since it is smaller than the sum of its proper divisors (39695829438).

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

34014422034 is a wasteful number, since it uses less digits than its factorization.

34014422034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316342 (or 316339 counting only the distinct ones).

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

Adding to 34014422034 its reverse (43022441043), we get a palindrome (77036863077).

The spelling of 34014422034 in words is "thirty-four billion, fourteen million, four hundred twenty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 18 6091 12182 18273 36546 54819 109638 310243 620486 930729 1861458 2792187 5584374 1889690113 3779380226 5669070339 11338140678 17007211017 34014422034