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34313431343 = 191769233617
BaseRepresentation
bin11111111101001111…
…010110100100101111
310021120100202220210112
4133331033112210233
51030233214300333
623432515530235
72323214232302
oct377517264457
9107510686715
1034313431343
1113609045924
1267975b997b
13330ac07c39
14193726ab39
15d5c662948
hex7fd3d692f

34313431343 has 8 divisors (see below), whose sum is σ = 34538085120. Its totient is φ = 34089246720.

The previous prime is 34313431307. The next prime is 34313431351.

34313431343 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34313431343 - 214 = 34313414959 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 (34313431393) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30071 + ... + 263687.

It is an arithmetic number, because the mean of its divisors is an integer number (4317260640).

Almost surely, 234313431343 is an apocalyptic number.

34313431343 is a deficient number, since it is larger than the sum of its proper divisors (224653777).

34313431343 is a wasteful number, since it uses less digits than its factorization.

34313431343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234577.

The product of its digits is 46656, while the sum is 32.

The spelling of 34313431343 in words is "thirty-four billion, three hundred thirteen million, four hundred thirty-one thousand, three hundred forty-three".

Divisors: 1 191 769 146879 233617 44620847 179651473 34313431343