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349111107 = 3312930041
BaseRepresentation
bin10100110011110…
…000001101000011
3220022220200102000
4110303300031003
51203333023412
654350355043
711436252432
oct2463601503
9808820360
10349111107
1116a078384
1298abba83
1357434727
1434519119
15209b04dc
hex14cf0343

349111107 has 8 divisors (see below), whose sum is σ = 517201680. Its totient is φ = 232740720.

The previous prime is 349111097. The next prime is 349111121. The reversal of 349111107 is 701111943.

It is not a de Polignac number, because 349111107 - 215 = 349078339 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 12930041 = 349111107 / (3 + 4 + 9 + 1 + 1 + 1 + 1 + 0 + 7).

It is not an unprimeable number, because it can be changed into a prime (349111157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6464994 + ... + 6465047.

It is an arithmetic number, because the mean of its divisors is an integer number (64650210).

Almost surely, 2349111107 is an apocalyptic number.

349111107 is a deficient number, since it is larger than the sum of its proper divisors (168090573).

349111107 is a wasteful number, since it uses less digits than its factorization.

349111107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12930050 (or 12930044 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 349111107 is about 18684.5151663082. The cubic root of 349111107 is about 704.1327679553.

The spelling of 349111107 in words is "three hundred forty-nine million, one hundred eleven thousand, one hundred seven".

Divisors: 1 3 9 27 12930041 38790123 116370369 349111107