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430664 = 231341101
BaseRepresentation
bin1101001001001001000
3210212202112
41221021020
5102240124
613121452
73442403
oct1511110
9725675
10430664
11274623
12189288
13121040
14b2d3a
158790e
hex69248

430664 has 32 divisors (see below), whose sum is σ = 899640. Its totient is φ = 192000.

The previous prime is 430663. The next prime is 430691. The reversal of 430664 is 466034.

Adding to 430664 its reverse (466034), we get a palindrome (896698).

It can be written as a sum of positive squares in 4 ways, for example, as 302500 + 128164 = 550^2 + 358^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430663) 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, 4214 + ... + 4314.

2430664 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 430664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449820).

430664 is an abundant number, since it is smaller than the sum of its proper divisors (468976).

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

430664 is a wasteful number, since it uses less digits than its factorization.

430664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 430664 is about 656.2499523810. The cubic root of 430664 is about 75.5172540716.

The spelling of 430664 in words is "four hundred thirty thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 41 52 82 101 104 164 202 328 404 533 808 1066 1313 2132 2626 4141 4264 5252 8282 10504 16564 33128 53833 107666 215332 430664