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349808943 = 31121967757
BaseRepresentation
bin10100110110011…
…010100100101111
3220101020010122210
4110312122210233
51204022341233
654413341503
711445220101
oct2466324457
9811203583
10349808943
1116a504700
1299197893
135761a253
143465b571
1520a9c163
hex14d9a92f

349808943 has 48 divisors (see below), whose sum is σ = 548428160. Its totient is φ = 197588160.

The previous prime is 349808917. The next prime is 349808951.

349808943 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 349808943 - 210 = 349807919 is a prime.

349808943 is a modest number, since divided by 8943 gives 3498 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 349808892 and 349808901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349808903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461721 + ... + 462477.

Almost surely, 2349808943 is an apocalyptic number.

349808943 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

349808943 is a deficient number, since it is larger than the sum of its proper divisors (198619217).

349808943 is a wasteful number, since it uses less digits than its factorization.

349808943 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 349808943 is about 18703.1800237286. The cubic root of 349808943 is about 704.6016178899.

The spelling of 349808943 in words is "three hundred forty-nine million, eight hundred eight thousand, nine hundred forty-three".

Divisors: 1 3 11 19 33 57 67 121 201 209 363 627 737 757 1273 2211 2271 2299 3819 6897 8107 8327 14003 14383 24321 24981 42009 43149 50719 91597 152157 154033 158213 274791 462099 474639 557909 963661 1673727 1740343 2890983 5221029 6136999 10600271 18410997 31800813 116602981 349808943