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349053768 = 23327692567
BaseRepresentation
bin10100110011100…
…010001101001000
3220022210202202100
4110303202031020
51203324210033
654345233400
711435623320
oct2463421510
9808722670
10349053768
1116a039298
1298a92860
13574145bb
1434502280
152099d513
hex14ce2348

349053768 has 48 divisors (see below), whose sum is σ = 1080406080. Its totient is φ = 99729504.

The previous prime is 349053751. The next prime is 349053779. The reversal of 349053768 is 867350943.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345780 + ... + 346787.

It is an arithmetic number, because the mean of its divisors is an integer number (22508460).

Almost surely, 2349053768 is an apocalyptic number.

It is an amenable number.

349053768 is an abundant number, since it is smaller than the sum of its proper divisors (731352312).

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

349053768 is a wasteful number, since it uses less digits than its factorization.

349053768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692586 (or 692579 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 349053768 is about 18682.9807043737. The cubic root of 349053768 is about 704.0942162558.

The spelling of 349053768 in words is "three hundred forty-nine million, fifty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 692567 1385134 2077701 2770268 4155402 4847969 5540536 6233103 8310804 9695938 12466206 14543907 16621608 19391876 24932412 29087814 38783752 43631721 49864824 58175628 87263442 116351256 174526884 349053768