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349265268 = 223211881983
BaseRepresentation
bin10100110100010…
…101110101110100
3220100012111212200
4110310111311310
51203402442033
654353544500
711440464042
oct2464256564
9810174780
10349265268
1116a173190
1298b75130
1357489951
1434559392
15209e1013
hex14d15d74

349265268 has 36 divisors (see below), whose sum is σ = 963126528. Its totient is φ = 105837840.

The previous prime is 349265249. The next prime is 349265269. The reversal of 349265268 is 862562943.

349265268 is a `hidden beast` number, since 34 + 92 + 6 + 526 + 8 = 666.

349265268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3492652682 = 243972454862223648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349265269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 440596 + ... + 441387.

Almost surely, 2349265268 is an apocalyptic number.

It is an amenable number.

349265268 is an abundant number, since it is smaller than the sum of its proper divisors (613861260).

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

349265268 is a wasteful number, since it uses less digits than its factorization.

349265268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882004 (or 881999 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 349265268 is about 18688.6400789357. The cubic root of 349265268 is about 704.2363967003.

The spelling of 349265268 in words is "three hundred forty-nine million, two hundred sixty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 881983 1763966 2645949 3527932 5291898 7937847 9701813 10583796 15875694 19403626 29105439 31751388 38807252 58210878 87316317 116421756 174632634 349265268