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349868205 = 3257774849
BaseRepresentation
bin10100110110101…
…001000010101101
3220101100010221200
4110312221002231
51204031240310
654414520113
711445554631
oct2466510255
9811303850
10349868205
1116a545185
1299206039
135763b20b
1434674dc1
1520aae9c0
hex14da90ad

349868205 has 12 divisors (see below), whose sum is σ = 606438300. Its totient is φ = 186596352.

The previous prime is 349868159. The next prime is 349868213. The reversal of 349868205 is 502868943.

It can be written as a sum of positive squares in 2 ways, for example, as 47734281 + 302133924 = 6909^2 + 17382^2 .

It is not a de Polignac number, because 349868205 - 28 = 349867949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 7774849 = 349868205 / (3 + 4 + 9 + 8 + 6 + 8 + 2 + 0 + 5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3887380 + ... + 3887469.

It is an arithmetic number, because the mean of its divisors is an integer number (50536525).

Almost surely, 2349868205 is an apocalyptic number.

It is an amenable number.

349868205 is a deficient number, since it is larger than the sum of its proper divisors (256570095).

349868205 is a wasteful number, since it uses less digits than its factorization.

349868205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7774860 (or 7774857 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 349868205 is about 18704.7642326761. The cubic root of 349868205 is about 704.6414050786.

The spelling of 349868205 in words is "three hundred forty-nine million, eight hundred sixty-eight thousand, two hundred five".

Divisors: 1 3 5 9 15 45 7774849 23324547 38874245 69973641 116622735 349868205