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349000434 = 23337317327
BaseRepresentation
bin10100110011010…
…101001011110010
3220022201001121000
4110303111023302
51203321003214
654344142430
711435311656
oct2463251362
9808631530
10349000434
1116a002212
1298a67a16
13573c6243
14344caa66
152098c809
hex14cd52f2

349000434 has 32 divisors (see below), whose sum is σ = 777680640. Its totient is φ = 116014896.

The previous prime is 349000423. The next prime is 349000439. The reversal of 349000434 is 434000943.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 349000398 and 349000407.

It is not an unprimeable number, because it can be changed into a prime (349000439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11479 + ... + 28805.

It is an arithmetic number, because the mean of its divisors is an integer number (24302520).

Almost surely, 2349000434 is an apocalyptic number.

349000434 is an abundant number, since it is smaller than the sum of its proper divisors (428680206).

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

349000434 is a wasteful number, since it uses less digits than its factorization.

349000434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17711 (or 17705 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 349000434 is about 18681.5533080095. The cubic root of 349000434 is about 704.0583535157.

The spelling of 349000434 in words is "three hundred forty-nine million, four hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 373 746 1119 2238 3357 6714 10071 17327 20142 34654 51981 103962 155943 311886 467829 935658 6462971 12925942 19388913 38777826 58166739 116333478 174500217 349000434