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34205310343 = 1728330723159
BaseRepresentation
bin11111110110110010…
…111001110110000111
310021021211022210200001
4133312302321312013
51030023024412333
623414054302131
72320432224601
oct376662716607
9107254283601
1034205310343
1113563007a26
126767357947
1332c16acc09
141926b64171
15d52e06b7d
hex7f6cb9d87

34205310343 has 16 divisors (see below), whose sum is σ = 36465327360. Its totient is φ = 31973602176.

The previous prime is 34205310341. The next prime is 34205310437. The reversal of 34205310343 is 34301350243.

It is not a de Polignac number, because 34205310343 - 21 = 34205310341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34205310341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1465398 + ... + 1488556.

It is an arithmetic number, because the mean of its divisors is an integer number (2279082960).

Almost surely, 234205310343 is an apocalyptic number.

34205310343 is a deficient number, since it is larger than the sum of its proper divisors (2260017017).

34205310343 is a wasteful number, since it uses less digits than its factorization.

34205310343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23766.

The product of its (nonzero) digits is 12960, while the sum is 28.

Adding to 34205310343 its reverse (34301350243), we get a palindrome (68506660586).

The spelling of 34205310343 in words is "thirty-four billion, two hundred five million, three hundred ten thousand, three hundred forty-three".

Divisors: 1 17 283 307 4811 5219 23159 86881 393703 1476977 6553997 7109813 111417949 120866821 2012077079 34205310343