Search a number
-
+
329384 = 231119197
BaseRepresentation
bin1010000011010101000
3121201211102
41100122220
541020014
611020532
72541206
oct1203250
9551742
10329384
11205520
1213a748
13b6c03
1488076
15678de
hex506a8

329384 has 32 divisors (see below), whose sum is σ = 712800. Its totient is φ = 141120.

The previous prime is 329347. The next prime is 329387. The reversal of 329384 is 483923.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329387) 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 7 ways as a sum of consecutive naturals, for example, 1574 + ... + 1770.

It is an arithmetic number, because the mean of its divisors is an integer number (22275).

2329384 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 329384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356400).

329384 is an abundant number, since it is smaller than the sum of its proper divisors (383416).

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

329384 is a wasteful number, since it uses less digits than its factorization.

329384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 329384 is about 573.9198550320. The cubic root of 329384 is about 69.0612073289.

The spelling of 329384 in words is "three hundred twenty-nine thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 197 209 394 418 788 836 1576 1672 2167 3743 4334 7486 8668 14972 17336 29944 41173 82346 164692 329384