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349006336 = 29797379
BaseRepresentation
bin10100110011010…
…110101000000000
3220022201100200121
4110303112220000
51203321200321
654344230024
711435335120
oct2463265000
9808640617
10349006336
1116a006698
1298a6b314
13573c8b33
14344ccc80
152098e441
hex14cd6a00

349006336 has 40 divisors (see below), whose sum is σ = 796957920. Its totient is φ = 149572608.

The previous prime is 349006331. The next prime is 349006367. The reversal of 349006336 is 633600943.

It is not an unprimeable number, because it can be changed into a prime (349006331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45106 + ... + 52273.

It is an arithmetic number, because the mean of its divisors is an integer number (19923948).

Almost surely, 2349006336 is an apocalyptic number.

It is an amenable number.

349006336 is an abundant number, since it is smaller than the sum of its proper divisors (447951584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

349006336 is an frugal number, since it uses more digits than its factorization.

349006336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97404 (or 97388 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 34.

The square root of 349006336 is about 18681.7112706518. The cubic root of 349006336 is about 704.0623223064.

The spelling of 349006336 in words is "three hundred forty-nine million, six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 97379 194758 389516 681653 779032 1363306 1558064 2726612 3116128 5453224 6232256 10906448 12464512 21812896 24929024 43625792 49858048 87251584 174503168 349006336