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348608 = 2613419
BaseRepresentation
bin1010101000111000000
3122201012102
41111013000
542123413
611245532
72651231
oct1250700
9581172
10348608
11218a07
121498a8
13c28a0
1491088
156d458
hex551c0

348608 has 28 divisors (see below), whose sum is σ = 746760. Its totient is φ = 160512.

The previous prime is 348587. The next prime is 348617. The reversal of 348608 is 806843.

It is a congruent number.

It is an unprimeable number.

348608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 623 + ... + 1041.

It is an arithmetic number, because the mean of its divisors is an integer number (26670).

2348608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373380).

348608 is an abundant number, since it is smaller than the sum of its proper divisors (398152).

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

348608 is a wasteful number, since it uses less digits than its factorization.

348608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 348608 is about 590.4303515234. The cubic root of 348608 is about 70.3794361426.

The spelling of 348608 in words is "three hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 419 832 838 1676 3352 5447 6704 10894 13408 21788 26816 43576 87152 174304 348608