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348705 = 355741
BaseRepresentation
bin1010101001000100001
3122201100000
41111020201
542124310
611250213
72651430
oct1251041
9581300
10348705
11218a95
12149969
13c2946
1491117
156d4c0
hex55221

348705 has 48 divisors (see below), whose sum is σ = 733824. Its totient is φ = 155520.

The previous prime is 348671. The next prime is 348709. The reversal of 348705 is 507843.

348705 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 348705 - 211 = 346657 is a prime.

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

348705 is strictly pandigital in base 7.

348705 is a lucky number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8485 + ... + 8525.

It is an arithmetic number, because the mean of its divisors is an integer number (15288).

2348705 is an apocalyptic number.

348705 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

348705 is an abundant number, since it is smaller than the sum of its proper divisors (385119).

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

348705 is an equidigital number, since it uses as much as digits as its factorization.

348705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 348705 is about 590.5124892837. The cubic root of 348705 is about 70.3859632181.

The spelling of 348705 in words is "three hundred forty-eight thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 41 45 63 81 105 123 135 189 205 243 287 315 369 405 567 615 861 945 1107 1215 1435 1701 1845 2583 2835 3321 4305 5535 7749 8505 9963 12915 16605 23247 38745 49815 69741 116235 348705