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34346264343 = 3232631892669
BaseRepresentation
bin11111111111001100…
…100110011100010111
310021122122120000012120
4133333030212130113
51030320120424333
623440051351023
72324063300316
oct377714463427
9107578500176
1034346264343
1113625630836
1267a65b2473
133314962551
14193b77627d
15d6049adb3
hex7ff326717

34346264343 has 16 divisors (see below), whose sum is σ = 47967828480. Its totient is φ = 21818676704.

The previous prime is 34346264327. The next prime is 34346264363.

It is a happy number.

34346264343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34346264343 - 24 = 34346264327 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34346264295 and 34346264304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34346264363) 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, 928188 + ... + 964481.

It is an arithmetic number, because the mean of its divisors is an integer number (2997989280).

Almost surely, 234346264343 is an apocalyptic number.

34346264343 is a deficient number, since it is larger than the sum of its proper divisors (13621564137).

34346264343 is a wasteful number, since it uses less digits than its factorization.

34346264343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892958.

The product of its digits is 1492992, while the sum is 42.

The spelling of 34346264343 in words is "thirty-four billion, three hundred forty-six million, two hundred sixty-four thousand, three hundred forty-three".

Divisors: 1 3 23 69 263 789 6049 18147 1892669 5678007 43531387 130594161 497771947 1493315841 11448754781 34346264343