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349416095 = 5747212411
BaseRepresentation
bin10100110100111…
…010101010011111
3220100111011202212
4110310322222133
51203422303340
654401111035
711441662550
oct2464725237
9810434685
10349416095
1116a266536
129902847b
13575104b2
1434598327
1520a20a65
hex14d3aa9f

349416095 has 16 divisors (see below), whose sum is σ = 489397248. Its totient is φ = 234500640.

The previous prime is 349416083. The next prime is 349416127. The reversal of 349416095 is 590614943.

It is not a de Polignac number, because 349416095 - 26 = 349416031 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104561 + ... + 107850.

It is an arithmetic number, because the mean of its divisors is an integer number (30587328).

Almost surely, 2349416095 is an apocalyptic number.

349416095 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

349416095 is a deficient number, since it is larger than the sum of its proper divisors (139981153).

349416095 is a wasteful number, since it uses less digits than its factorization.

349416095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212470.

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 349416095 is about 18692.6749022177. The cubic root of 349416095 is about 704.3377547860.

The spelling of 349416095 in words is "three hundred forty-nine million, four hundred sixteen thousand, ninety-five".

Divisors: 1 5 7 35 47 235 329 1645 212411 1062055 1486877 7434385 9983317 49916585 69883219 349416095