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349031907 = 32729732617
BaseRepresentation
bin10100110011011…
…100110111100011
3220022202122202200
4110303130313203
51203323010112
654344544243
711435502510
oct2463346743
9808678680
10349031907
1116a023924
1298a82083
1357407673
14344d8307
1520996cdc
hex14cdcde3

349031907 has 48 divisors (see below), whose sum is σ = 604443840. Its totient is φ = 189858816.

The previous prime is 349031897. The next prime is 349031929. The reversal of 349031907 is 709130943.

It is not a de Polignac number, because 349031907 - 215 = 348999139 is a prime.

It is not an unprimeable number, because it can be changed into a prime (349033907) 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 47 ways as a sum of consecutive naturals, for example, 132063 + ... + 134679.

It is an arithmetic number, because the mean of its divisors is an integer number (12592580).

Almost surely, 2349031907 is an apocalyptic number.

349031907 is a deficient number, since it is larger than the sum of its proper divisors (255411933).

349031907 is a wasteful number, since it uses less digits than its factorization.

349031907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 349031907 is about 18682.3956440281. The cubic root of 349031907 is about 704.0795169684.

The spelling of 349031907 in words is "three hundred forty-nine million, thirty-one thousand, nine hundred seven".

Divisors: 1 3 7 9 21 29 63 73 87 203 219 261 511 609 657 1533 1827 2117 2617 4599 6351 7851 14819 18319 19053 23553 44457 54957 75893 133371 164871 191041 227679 531251 573123 683037 1337287 1593753 1719369 4011861 4781259 5540189 12035583 16620567 38781323 49861701 116343969 349031907