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34012340334 = 23271715878777
BaseRepresentation
bin11111101011010010…
…110010000001101110
310020210101012220120200
4133223102302001232
51024124124342314
623343002254330
72312600060040
oct375322620156
9106711186520
1034012340334
1113474096785
1267127b73a6
13329071768b
141909291a90
15d40eda709
hex7eb4b206e

34012340334 has 48 divisors (see below), whose sum is σ = 89175217248. Its totient is φ = 9146174976.

The previous prime is 34012340293. The next prime is 34012340353. The reversal of 34012340334 is 43304321043.

It is a junction number, because it is equal to n+sod(n) for n = 34012340298 and 34012340307.

It is a congruent number.

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, 7937247 + ... + 7941530.

It is an arithmetic number, because the mean of its divisors is an integer number (1857817026).

Almost surely, 234012340334 is an apocalyptic number.

34012340334 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34012340334 is an abundant number, since it is smaller than the sum of its proper divisors (55162876914).

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

34012340334 is a wasteful number, since it uses less digits than its factorization.

34012340334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15878809 (or 15878806 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34012340334 its reverse (43304321043), we get a palindrome (77316661377).

The spelling of 34012340334 in words is "thirty-four billion, twelve million, three hundred forty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 15878777 31757554 47636331 95272662 111151439 142908993 222302878 269939209 285817986 333454317 539878418 666908634 809817627 1000362951 1619635254 1889574463 2000725902 2429452881 3779148926 4858905762 5668723389 11337446778 17006170167 34012340334