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34355255343 = 31011732232939
BaseRepresentation
bin11111111111101110…
…111001100000101111
310021200021110210112120
4133333232321200233
51030324421132333
623441012204023
72324232565203
oct377756714057
9107607423476
1034355255343
111362a711912
1267a9609613
13331678ca76
14193ca36b03
15d61174db3
hex7ffbb982f

34355255343 has 32 divisors (see below), whose sum is σ = 46752491520. Its totient is φ = 22436918400.

The previous prime is 34355255279. The next prime is 34355255353.

34355255343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34355255343 - 26 = 34355255279 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34355255295 and 34355255304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34355255353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11687968 + ... + 11690906.

It is an arithmetic number, because the mean of its divisors is an integer number (1461015360).

Almost surely, 234355255343 is an apocalyptic number.

34355255343 is a deficient number, since it is larger than the sum of its proper divisors (12397236177).

34355255343 is a wasteful number, since it uses less digits than its factorization.

34355255343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439.

The product of its digits is 1620000, while the sum is 42.

Subtracting from 34355255343 its product of digits (1620000), we obtain a palindrome (34353635343).

The spelling of 34355255343 in words is "thirty-four billion, three hundred fifty-five million, two hundred fifty-five thousand, three hundred forty-three".

Divisors: 1 3 101 173 223 303 519 669 2939 8817 17473 22523 38579 52419 67569 115737 296839 508447 655397 890517 1525341 1966191 3896479 11689437 51353147 66195097 113383681 154059441 198585291 340151043 11451751781 34355255343