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348381 = 34111723
BaseRepresentation
bin1010101000011011101
3122200220000
41111003131
542122011
611244513
72650455
oct1250335
9580800
10348381
11218820
12149739
13c2757
1490d65
156d356
hex550dd

348381 has 40 divisors (see below), whose sum is σ = 627264. Its totient is φ = 190080.

The previous prime is 348367. The next prime is 348389. The reversal of 348381 is 183843.

It is not a de Polignac number, because 348381 - 27 = 348253 is a prime.

It is a super-2 number, since 2×3483812 = 242738642322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 348381.

It is not an unprimeable number, because it can be changed into a prime (348389) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15136 + ... + 15158.

2348381 is an apocalyptic number.

It is an amenable number.

348381 is a deficient number, since it is larger than the sum of its proper divisors (278883).

348381 is a wasteful number, since it uses less digits than its factorization.

348381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 54 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 348381 is about 590.2380875545. The cubic root of 348381 is about 70.3641567066.

It can be divided in two parts, 348 and 381, that added together give a 6-th power (729 = 36).

The spelling of 348381 in words is "three hundred forty-eight thousand, three hundred eighty-one".

Divisors: 1 3 9 11 17 23 27 33 51 69 81 99 153 187 207 253 297 391 459 561 621 759 891 1173 1377 1683 1863 2277 3519 4301 5049 6831 10557 12903 15147 20493 31671 38709 116127 348381