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480330 = 2345593
BaseRepresentation
bin1110101010001001010
3220101220000
41311101022
5110332310
614143430
74040244
oct1652112
9811800
10480330
112a8974
121b1b76
1313a826
14c7094
15974c0
hex7544a

480330 has 40 divisors (see below), whose sum is σ = 1293732. Its totient is φ = 127872.

The previous prime is 480329. The next prime is 480341. The reversal of 480330 is 33084.

It can be written as a sum of positive squares in 2 ways, for example, as 480249 + 81 = 693^2 + 9^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 514 + ... + 1106.

2480330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646866).

480330 is an abundant number, since it is smaller than the sum of its proper divisors (813402).

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

480330 is a wasteful number, since it uses less digits than its factorization.

480330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 480330 is about 693.0584390944. The cubic root of 480330 is about 78.3152918563.

The spelling of 480330 in words is "four hundred eighty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 593 810 1186 1779 2965 3558 5337 5930 8895 10674 16011 17790 26685 32022 48033 53370 80055 96066 160110 240165 480330