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34002312334 = 21917331116631
BaseRepresentation
bin11111101010101100…
…100001110010001110
310020202200100102202021
4133222230201302032
51024114042443314
623342003320354
72312415612634
oct375254416216
9106680312667
1034002312334
1113469467581
12670b3800ba
13328b616153
141907c01354
15d401a9324
hex7eab21c8e

34002312334 has 32 divisors (see below), whose sum is σ = 54175080960. Its totient is φ = 15960808800.

The previous prime is 34002312301. The next prime is 34002312349. The reversal of 34002312334 is 43321320043.

It is a junction number, because it is equal to n+sod(n) for n = 34002312299 and 34002312308.

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 15 ways as a sum of consecutive naturals, for example, 2036199 + ... + 2052829.

It is an arithmetic number, because the mean of its divisors is an integer number (1692971280).

Almost surely, 234002312334 is an apocalyptic number.

34002312334 is a deficient number, since it is larger than the sum of its proper divisors (20172768626).

34002312334 is a wasteful number, since it uses less digits than its factorization.

34002312334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17136.

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 34002312334 its reverse (43321320043), we get a palindrome (77323632377).

The spelling of 34002312334 in words is "thirty-four billion, two million, three hundred twelve thousand, three hundred thirty-four".

Divisors: 1 2 19 38 173 311 346 622 3287 5909 6574 11818 16631 33262 53803 107606 315989 631978 1022257 2044514 2877163 5172241 5754326 10344482 54666097 98272579 109332194 196545158 894797693 1789595386 17001156167 34002312334