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348894 = 23371371
BaseRepresentation
bin1010101001011011110
3122201121000
41111023132
542131034
611251130
72652120
oct1251336
9581530
10348894
11219147
12149aa6
13c2a60
1491210
156d599
hex552de

348894 has 64 divisors (see below), whose sum is σ = 967680. Its totient is φ = 90720.

The previous prime is 348889. The next prime is 348911. The reversal of 348894 is 498843.

348894 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (27648) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4879 + ... + 4949.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2348894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

348894 is an abundant number, since it is smaller than the sum of its proper divisors (618786).

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

348894 is a wasteful number, since it uses less digits than its factorization.

348894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 96 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 348894 is about 590.6724980901. The cubic root of 348894 is about 70.3986774459.

The spelling of 348894 in words is "three hundred forty-eight thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 71 78 91 117 126 142 182 189 213 234 273 351 378 426 497 546 639 702 819 923 994 1278 1491 1638 1846 1917 2457 2769 2982 3834 4473 4914 5538 6461 8307 8946 12922 13419 16614 19383 24921 26838 38766 49842 58149 116298 174447 348894