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34067040337 = 1119598127253
BaseRepresentation
bin11111101110100011…
…011100100001010001
310020221012010221212201
4133232203130201101
51024232130242322
623352234523201
72314133031211
oct375643344121
9106835127781
1034067040337
11134a1a576a0
126728b96501
13329bb5a145
141912650241
15d45be2d27
hex7ee8dc851

34067040337 has 16 divisors (see below), whose sum is σ = 39128022720. Its totient is φ = 29334052800.

The previous prime is 34067040313. The next prime is 34067040349. The reversal of 34067040337 is 73304076043.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34067040337 - 219 = 34066516049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34067040296 and 34067040305.

It is not an unprimeable number, because it can be changed into a prime (34067040037) 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 15 ways as a sum of consecutive naturals, for example, 1236403 + ... + 1263655.

It is an arithmetic number, because the mean of its divisors is an integer number (2445501420).

Almost surely, 234067040337 is an apocalyptic number.

It is an amenable number.

34067040337 is a deficient number, since it is larger than the sum of its proper divisors (5060982383).

34067040337 is a wasteful number, since it uses less digits than its factorization.

34067040337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33264.

The product of its (nonzero) digits is 127008, while the sum is 37.

The spelling of 34067040337 in words is "thirty-four billion, sixty-seven million, forty thousand, three hundred thirty-seven".

Divisors: 1 11 19 209 5981 27253 65791 113639 299783 517807 1250029 5695877 163000193 1793002123 3097003667 34067040337