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330504 = 23347293
BaseRepresentation
bin1010000101100001000
3121210100220
41100230020
541034004
611030040
72544366
oct1205410
9553326
10330504
11206349
1213b320
13b7585
1488636
1567dd9
hex50b08

330504 has 32 divisors (see below), whose sum is σ = 846720. Its totient is φ = 107456.

The previous prime is 330469. The next prime is 330509. The reversal of 330504 is 405033.

330504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (330509) by changing a digit.

330504 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 7 ways as a sum of consecutive naturals, for example, 982 + ... + 1274.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2330504 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 330504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

330504 is an abundant number, since it is smaller than the sum of its proper divisors (516216).

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

330504 is a wasteful number, since it uses less digits than its factorization.

330504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 330504 is about 574.8947729802. The cubic root of 330504 is about 69.1393947417.

Adding to 330504 its reverse (405033), we get a palindrome (735537).

Subtracting 330504 from its reverse (405033), we obtain a square (74529 = 2732).

The spelling of 330504 in words is "three hundred thirty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 293 376 564 586 879 1128 1172 1758 2344 3516 7032 13771 27542 41313 55084 82626 110168 165252 330504