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34134022321 = 723534000237
BaseRepresentation
bin11111110010100010…
…111101100010110001
310021002212011222212221
4133302202331202301
51024401302203241
623403030321041
72315605255030
oct376242754261
9107085158787
1034134022321
1113526847203
1267474b9181
1332ac9b0059
14191b4c8717
15d4ba245d1
hex7f28bd8b1

34134022321 has 16 divisors (see below), whose sum is σ = 41474467584. Its totient is φ = 27457619904.

The previous prime is 34134022319. The next prime is 34134022333. The reversal of 34134022321 is 12322043143.

It is a cyclic number.

It is not a de Polignac number, because 34134022321 - 21 = 34134022319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34134022361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1991586 + ... + 2008651.

It is an arithmetic number, because the mean of its divisors is an integer number (2592154224).

Almost surely, 234134022321 is an apocalyptic number.

It is an amenable number.

34134022321 is a deficient number, since it is larger than the sum of its proper divisors (7340445263).

34134022321 is a wasteful number, since it uses less digits than its factorization.

34134022321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000320.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 34134022321 its reverse (12322043143), we get a palindrome (46456065464).

The spelling of 34134022321 in words is "thirty-four billion, one hundred thirty-four million, twenty-two thousand, three hundred twenty-one".

Divisors: 1 7 23 53 161 371 1219 8533 4000237 28001659 92005451 212012561 644038157 1484087927 4876288903 34134022321