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349040943 = 32371815791
BaseRepresentation
bin10100110011011…
…111000100101111
3220022210010011100
4110303133010233
51203323302233
654345054143
711435541036
oct2463370457
9808703140
10349040943
1116a02a699
1298a87353
135740b804
14344db71d
1520999813
hex14cdf12f

349040943 has 24 divisors (see below), whose sum is σ = 520747136. Its totient is φ = 225115200.

The previous prime is 349040929. The next prime is 349040971.

349040943 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-349040943 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 349040898 and 349040907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349040983) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 57378 + ... + 63168.

Almost surely, 2349040943 is an apocalyptic number.

349040943 is a deficient number, since it is larger than the sum of its proper divisors (171706193).

349040943 is a wasteful number, since it uses less digits than its factorization.

349040943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6015 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 349040943 is about 18682.6374744039. The cubic root of 349040943 is about 704.0855928290.

The spelling of 349040943 in words is "three hundred forty-nine million, forty thousand, nine hundred forty-three".

Divisors: 1 3 9 37 111 181 333 543 1629 5791 6697 17373 20091 52119 60273 214267 642801 1048171 1928403 3144513 9433539 38782327 116346981 349040943