Search a number
-
+
1004304 = 2437361
BaseRepresentation
bin11110101001100010000
31220000122110
43311030100
5224114204
633305320
711352000
oct3651420
91800573
101004304
11626604
12405240
13292182
141c2000
1514c889
hexf5310

1004304 has 80 divisors (see below), whose sum is σ = 3075200. Its totient is φ = 282240.

The previous prime is 1004303. The next prime is 1004317. The reversal of 1004304 is 4034001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 1004304.

It is not an unprimeable number, because it can be changed into a prime (1004303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16434 + ... + 16494.

It is an arithmetic number, because the mean of its divisors is an integer number (38440).

21004304 is an apocalyptic number.

1004304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537600).

1004304 is an abundant number, since it is smaller than the sum of its proper divisors (2070896).

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

1004304 is an equidigital number, since it uses as much as digits as its factorization.

1004304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1004304 is about 1002.1496894177. The cubic root of 1004304 is about 100.1432613306.

Adding to 1004304 its reverse (4034001), we get a palindrome (5038305).

The spelling of 1004304 in words is "one million, four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 61 84 98 112 122 147 168 183 196 244 294 336 343 366 392 427 488 588 686 732 784 854 976 1029 1176 1281 1372 1464 1708 2058 2352 2562 2744 2928 2989 3416 4116 5124 5488 5978 6832 8232 8967 10248 11956 16464 17934 20496 20923 23912 35868 41846 47824 62769 71736 83692 125538 143472 167384 251076 334768 502152 1004304