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349916350 = 25272197517
BaseRepresentation
bin10100110110110…
…100110010111110
3220101102120222211
4110312310302332
51204034310400
654415531034
711446145200
oct2466646276
9811376884
10349916350
1116a578373
1299229a7a
13576570c4
1434688770
1520abddba
hex14db4cbe

349916350 has 72 divisors (see below), whose sum is σ = 797058360. Its totient is φ = 113641920.

The previous prime is 349916317. The next prime is 349916353. The reversal of 349916350 is 53619943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349916353) 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 35 ways as a sum of consecutive naturals, for example, 42792 + ... + 50308.

It is an arithmetic number, because the mean of its divisors is an integer number (11070255).

Almost surely, 2349916350 is an apocalyptic number.

349916350 is an abundant number, since it is smaller than the sum of its proper divisors (447142010).

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

349916350 is a wasteful number, since it uses less digits than its factorization.

349916350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7562 (or 7550 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 40.

The square root of 349916350 is about 18706.0511599856. The cubic root of 349916350 is about 704.6737252532.

The spelling of 349916350 in words is "three hundred forty-nine million, nine hundred sixteen thousand, three hundred fifty".

Divisors: 1 2 5 7 10 14 19 25 35 38 49 50 70 95 98 133 175 190 245 266 350 475 490 665 931 950 1225 1330 1862 2450 3325 4655 6650 7517 9310 15034 23275 37585 46550 52619 75170 105238 142823 187925 263095 285646 368333 375850 526190 714115 736666 999761 1315475 1428230 1841665 1999522 2630950 3570575 3683330 4998805 6998327 7141150 9208325 9997610 13996654 18416650 24994025 34991635 49988050 69983270 174958175 349916350