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329394 = 231341103
BaseRepresentation
bin1010000011010110010
3121201211210
41100122302
541020034
611020550
72541222
oct1203262
9551753
10329394
1120552a
1213a756
13b6c10
1488082
15678e9
hex506b2

329394 has 32 divisors (see below), whose sum is σ = 733824. Its totient is φ = 97920.

The previous prime is 329393. The next prime is 329401. The reversal of 329394 is 493923.

Its product of digits (5832) is a multiple of the sum of its prime divisors (162).

It is not an unprimeable number, because it can be changed into a prime (329393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3147 + ... + 3249.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2329394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366912).

329394 is an abundant number, since it is smaller than the sum of its proper divisors (404430).

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

329394 is a wasteful number, since it uses less digits than its factorization.

329394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162.

The product of its digits is 5832, while the sum is 30.

The square root of 329394 is about 573.9285669837. The cubic root of 329394 is about 69.0619062144.

The spelling of 329394 in words is "three hundred twenty-nine thousand, three hundred ninety-four".

Divisors: 1 2 3 6 13 26 39 41 78 82 103 123 206 246 309 533 618 1066 1339 1599 2678 3198 4017 4223 8034 8446 12669 25338 54899 109798 164697 329394