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5303304 = 2332731009
BaseRepresentation
bin10100001110110000001000
3100222102202200
4110032300020
52324201204
6305400200
763035346
oct24166010
910872680
105303304
112aa24a6
121939060
131138b66
149c0996
156eb539
hex50ec08

5303304 has 48 divisors (see below), whose sum is σ = 14574300. Its totient is φ = 1741824.

The previous prime is 5303297. The next prime is 5303323. The reversal of 5303304 is 4033035.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5280804 + 22500 = 2298^2 + 150^2 .

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 11 ways as a sum of consecutive naturals, for example, 4752 + ... + 5760.

Almost surely, 25303304 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 5303304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7287150).

5303304 is an abundant number, since it is smaller than the sum of its proper divisors (9270996).

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

5303304 is a wasteful number, since it uses less digits than its factorization.

5303304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 5303304 is about 2302.8903577895. The cubic root of 5303304 is about 174.3875625897.

Adding to 5303304 its reverse (4033035), we get a palindrome (9336339).

The spelling of 5303304 in words is "five million, three hundred three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1009 1314 1752 2018 2628 3027 4036 5256 6054 8072 9081 12108 18162 24216 36324 72648 73657 147314 220971 294628 441942 589256 662913 883884 1325826 1767768 2651652 5303304