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349433800 = 23521747169
BaseRepresentation
bin10100110100111…
…110111111001000
3220100112002001121
4110310332333020
51203423340200
654401325024
711442065302
oct2464767710
9810462047
10349433800
1116a278871
1299036774
1357518581
14345a0972
1520a25e1a
hex14d3efc8

349433800 has 24 divisors (see below), whose sum is σ = 812434050. Its totient is φ = 139773440.

The previous prime is 349433753. The next prime is 349433837. The reversal of 349433800 is 8334943.

It can be written as a sum of positive squares in 3 ways, for example, as 142706916 + 206726884 = 11946^2 + 14378^2 .

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 5 ways as a sum of consecutive naturals, for example, 873385 + ... + 873784.

Almost surely, 2349433800 is an apocalyptic number.

It is an amenable number.

349433800 is an abundant number, since it is smaller than the sum of its proper divisors (463000250).

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

349433800 is a wasteful number, since it uses less digits than its factorization.

349433800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747185 (or 1747176 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 349433800 is about 18693.1484774502. The cubic root of 349433800 is about 704.3496509079.

The spelling of 349433800 in words is "three hundred forty-nine million, four hundred thirty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1747169 3494338 6988676 8735845 13977352 17471690 34943380 43679225 69886760 87358450 174716900 349433800