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430304 = 25717113
BaseRepresentation
bin1101001000011100000
3210212021012
41221003200
5102232204
613120052
73441350
oct1510340
9725235
10430304
11274326
12189028
13120b24
14b2b60
158776e
hex690e0

430304 has 48 divisors (see below), whose sum is σ = 1034208. Its totient is φ = 172032.

The previous prime is 430303. The next prime is 430319. The reversal of 430304 is 403034.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430303) 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 7 ways as a sum of consecutive naturals, for example, 3752 + ... + 3864.

It is an arithmetic number, because the mean of its divisors is an integer number (21546).

2430304 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 430304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517104).

430304 is an abundant number, since it is smaller than the sum of its proper divisors (603904).

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

430304 is a wasteful number, since it uses less digits than its factorization.

430304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 430304 is about 655.9756093027. The cubic root of 430304 is about 75.4962061161.

Adding to 430304 its reverse (403034), we get a palindrome (833338).

It can be divided in two parts, 43030 and 4, that added together give a palindrome (43034).

The spelling of 430304 in words is "four hundred thirty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 113 119 136 224 226 238 272 452 476 544 791 904 952 1582 1808 1904 1921 3164 3616 3808 3842 6328 7684 12656 13447 15368 25312 26894 30736 53788 61472 107576 215152 430304