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330464 = 2523449
BaseRepresentation
bin1010000101011100000
3121210022102
41100223200
541033324
611025532
72544311
oct1205340
9553272
10330464
11206312
1213b2a8
13b7554
1488608
1567dae
hex50ae0

330464 has 24 divisors (see below), whose sum is σ = 680400. Its totient is φ = 157696.

The previous prime is 330439. The next prime is 330469. The reversal of 330464 is 464033.

It is a happy number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330469) 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 3 ways as a sum of consecutive naturals, for example, 512 + ... + 960.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2330464 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 330464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340200).

330464 is an abundant number, since it is smaller than the sum of its proper divisors (349936).

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

330464 is a wasteful number, since it uses less digits than its factorization.

330464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 330464 is about 574.8599829524. The cubic root of 330464 is about 69.1366053783.

Adding to 330464 its reverse (464033), we get a palindrome (794497).

The spelling of 330464 in words is "three hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 449 736 898 1796 3592 7184 10327 14368 20654 41308 82616 165232 330464