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349640037 = 33172926267
BaseRepresentation
bin10100110101110…
…001010101100101
3220100220112222000
4110311301111211
51204001440122
654405555513
711443614465
oct2465612545
9810815860
10349640037
1116a3a980a
1299115b99
135758b3c6
1434615ba5
1520a670ac
hex14d71565

349640037 has 32 divisors (see below), whose sum is σ = 567388800. Its totient is φ = 211809024.

The previous prime is 349640021. The next prime is 349640059. The reversal of 349640037 is 730046943.

349640037 is a `hidden beast` number, since 3 + 4 + 9 + 640 + 0 + 3 + 7 = 666.

It is not a de Polignac number, because 349640037 - 24 = 349640021 is a prime.

It is a super-2 number, since 2×3496400372 = 244496310946722738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 349639983 and 349640010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349640437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178 + ... + 26444.

It is an arithmetic number, because the mean of its divisors is an integer number (17730900).

Almost surely, 2349640037 is an apocalyptic number.

It is an amenable number.

349640037 is a deficient number, since it is larger than the sum of its proper divisors (217748763).

349640037 is a wasteful number, since it uses less digits than its factorization.

349640037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26322 (or 26316 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 349640037 is about 18698.6640431877. The cubic root of 349640037 is about 704.4881934970.

The spelling of 349640037 in words is "three hundred forty-nine million, six hundred forty thousand, thirty-seven".

Divisors: 1 3 9 17 27 29 51 87 153 261 459 493 783 1479 4437 13311 26267 78801 236403 446539 709209 761743 1339617 2285229 4018851 6855687 12056553 12949631 20567061 38848893 116546679 349640037