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394842 = 23721779
BaseRepresentation
bin1100000011001011010
3202001121210
41200121122
5100113332
612243550
73233100
oct1403132
9661553
10394842
1124a718
121705b6
1310a946
14a3c70
157becc
hex6065a

394842 has 48 divisors (see below), whose sum is σ = 984960. Its totient is φ = 104832.

The previous prime is 394837. The next prime is 394861. The reversal of 394842 is 248493.

It is a happy number.

394842 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 34 + 9 + 83 + 45 + 49 + 217 .

Its product of digits (6912) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

394842 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4959 + ... + 5037.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2394842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492480).

394842 is an abundant number, since it is smaller than the sum of its proper divisors (590118).

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

394842 is a wasteful number, since it uses less digits than its factorization.

394842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 108 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 394842 is about 628.3645438756. The cubic root of 394842 is about 73.3625549292.

The spelling of 394842 in words is "three hundred ninety-four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 79 98 102 119 147 158 237 238 294 357 474 553 714 833 1106 1343 1659 1666 2499 2686 3318 3871 4029 4998 7742 8058 9401 11613 18802 23226 28203 56406 65807 131614 197421 394842