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348023313 = 321115722391
BaseRepresentation
bin10100101111100…
…110101000010001
3220020212102020100
4110233212220101
51203043221223
654311203013
711424102141
oct2457465021
9806772210
10348023313
111694a5080
1298676469
1357143571
1434314921
1520848043
hex14be6a11

348023313 has 24 divisors (see below), whose sum is σ = 551918016. Its totient is φ = 209570400.

The previous prime is 348023261. The next prime is 348023341. The reversal of 348023313 is 313320843.

348023313 is a `hidden beast` number, since 348 + 0 + 2 + 3 + 313 = 666.

It is not a de Polignac number, because 348023313 - 210 = 348022289 is a prime.

It is a super-2 number, since 2×3480233132 = 242240452782991938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (348023353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4348 + ... + 26738.

It is an arithmetic number, because the mean of its divisors is an integer number (22996584).

Almost surely, 2348023313 is an apocalyptic number.

348023313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

348023313 is a deficient number, since it is larger than the sum of its proper divisors (203894703).

348023313 is a wasteful number, since it uses less digits than its factorization.

348023313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22565 (or 22562 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 348023313 is about 18655.3829497011. The cubic root of 348023313 is about 703.4006721587.

The spelling of 348023313 in words is "three hundred forty-eight million, twenty-three thousand, three hundred thirteen".

Divisors: 1 3 9 11 33 99 157 471 1413 1727 5181 15543 22391 67173 201519 246301 738903 2216709 3515387 10546161 31638483 38669257 116007771 348023313