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34368004071 = 3253641112403
BaseRepresentation
bin100000000000011111…
…100001111111100111
310021201011110111111200
4200000133201333213
51030341202112241
623442145333543
72324446133412
oct400037417747
9107634414450
1034368004071
111363692a155
1267b19372b3
1333193047ab
1419405d4b79
15d623424b6
hex8007e1fe7

34368004071 has 24 divisors (see below), whose sum is σ = 50658684336. Its totient is φ = 22444431360.

The previous prime is 34368004067. The next prime is 34368004091. The reversal of 34368004071 is 17040086343.

34368004071 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34368004071 - 22 = 34368004067 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34368004031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249556 + ... + 361958.

It is an arithmetic number, because the mean of its divisors is an integer number (2110778514).

Almost surely, 234368004071 is an apocalyptic number.

34368004071 is a deficient number, since it is larger than the sum of its proper divisors (16290680265).

34368004071 is a wasteful number, since it uses less digits than its factorization.

34368004071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113103 (or 113100 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 34368004071 in words is "thirty-four billion, three hundred sixty-eight million, four thousand, seventy-one".

Divisors: 1 3 9 53 159 477 641 1923 5769 33973 101919 112403 305757 337209 1011627 5957359 17872077 53616231 72050323 216150969 648452907 3818667119 11456001357 34368004071