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1330304 = 2719547
BaseRepresentation
bin101000100110010000000
32111120211112
411010302000
5320032204
644302452
714210303
oct5046200
92446745
101330304
11829528
12541a28
13377681
14268b3a
151b426e
hex144c80

1330304 has 32 divisors (see below), whose sum is σ = 2794800. Its totient is φ = 628992.

The previous prime is 1330253. The next prime is 1330309. The reversal of 1330304 is 4030331.

It is a happy number.

1330304 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1330309) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2159 + ... + 2705.

21330304 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 1330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397400).

1330304 is an abundant number, since it is smaller than the sum of its proper divisors (1464496).

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

1330304 is an equidigital number, since it uses as much as digits as its factorization.

1330304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 1330304 is about 1153.3880526518. The cubic root of 1330304 is about 109.9808231033.

Adding to 1330304 its reverse (4030331), we get a palindrome (5360635).

The spelling of 1330304 in words is "one million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 547 608 1094 1216 2188 2432 4376 8752 10393 17504 20786 35008 41572 70016 83144 166288 332576 665152 1330304