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348001381 = 72133117623
BaseRepresentation
bin10100101111100…
…001010001100101
3220020211022011001
4110233201101211
51203042021011
654310513301
711423651200
oct2457412145
9806738131
10348001381
1116948a652
1298665831
13571365a0
143430a937
15208417c1
hex14be1465

348001381 has 24 divisors (see below), whose sum is σ = 450046464. Its totient is φ = 266444640.

The previous prime is 348001327. The next prime is 348001393. The reversal of 348001381 is 183100843.

It is a de Polignac number, because none of the positive numbers 2k-348001381 is a prime.

It is a super-2 number, since 2×3480013812 = 242209922355814322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348001681) 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, 10936 + ... + 28558.

It is an arithmetic number, because the mean of its divisors is an integer number (18751936).

Almost surely, 2348001381 is an apocalyptic number.

348001381 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

348001381 is a deficient number, since it is larger than the sum of its proper divisors (102045083).

348001381 is a wasteful number, since it uses less digits than its factorization.

348001381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17681 (or 17674 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 348001381 is about 18654.7951208262. The cubic root of 348001381 is about 703.3858960340.

The spelling of 348001381 in words is "three hundred forty-eight million, one thousand, three hundred eighty-one".

Divisors: 1 7 13 31 49 91 217 403 637 1519 2821 17623 19747 123361 229099 546313 863527 1603693 3824191 7102069 11225851 26769337 49714483 348001381