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349006585 = 5479145723
BaseRepresentation
bin10100110011010…
…110101011111001
3220022201101000211
4110303112223321
51203321202320
654344231121
711435335624
oct2463265371
9808641024
10349006585
1116a0068a4
1298a6b4a1
13573c8c95
14344ccdbb
152098e55a
hex14cd6af9

349006585 has 8 divisors (see below), whose sum is σ = 419685120. Its totient is φ = 278620464.

The previous prime is 349006571. The next prime is 349006601. The reversal of 349006585 is 585600943.

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 349006585 - 27 = 349006457 is a prime.

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 7 ways as a sum of consecutive naturals, for example, 70467 + ... + 75256.

It is an arithmetic number, because the mean of its divisors is an integer number (52460640).

Almost surely, 2349006585 is an apocalyptic number.

It is an amenable number.

349006585 is a deficient number, since it is larger than the sum of its proper divisors (70678535).

349006585 is a wasteful number, since it uses less digits than its factorization.

349006585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146207.

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 349006585 is about 18681.7179349224. The cubic root of 349006585 is about 704.0624897451.

The spelling of 349006585 in words is "three hundred forty-nine million, six thousand, five hundred eighty-five".

Divisors: 1 5 479 2395 145723 728615 69801317 349006585