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329380 = 22543383
BaseRepresentation
bin1010000011010100100
3121201211021
41100122210
541020010
611020524
72541202
oct1203244
9551737
10329380
11205517
1213a744
13b6bcc
1488072
15678da
hex506a4

329380 has 24 divisors (see below), whose sum is σ = 709632. Its totient is φ = 128352.

The previous prime is 329347. The next prime is 329387. The reversal of 329380 is 83923.

It is a happy 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, 669 + ... + 1051.

It is an arithmetic number, because the mean of its divisors is an integer number (29568).

2329380 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 329380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354816).

329380 is an abundant number, since it is smaller than the sum of its proper divisors (380252).

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

329380 is a wasteful number, since it uses less digits than its factorization.

329380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 329380 is about 573.9163702143. The cubic root of 329380 is about 69.0609277708.

The spelling of 329380 in words is "three hundred twenty-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 43 86 172 215 383 430 766 860 1532 1915 3830 7660 16469 32938 65876 82345 164690 329380