Search a number
-
+
430344 = 233243139
BaseRepresentation
bin1101001000100001000
3210212022200
41221010020
5102232334
613120200
73441435
oct1510410
9725280
10430344
11274362
12189060
13120b55
14b2b8c
1587799
hex69108

430344 has 48 divisors (see below), whose sum is σ = 1201200. Its totient is φ = 139104.

The previous prime is 430343. The next prime is 430357. The reversal of 430344 is 443034.

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

It is not an unprimeable number, because it can be changed into a prime (430343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3027 + ... + 3165.

It is an arithmetic number, because the mean of its divisors is an integer number (25025).

2430344 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 430344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600600).

430344 is an abundant number, since it is smaller than the sum of its proper divisors (770856).

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

430344 is a wasteful number, since it uses less digits than its factorization.

430344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 430344 is about 656.0060975326. The cubic root of 430344 is about 75.4985453574.

Adding to 430344 its reverse (443034), we get a palindrome (873378).

The spelling of 430344 in words is "four hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 139 172 258 278 344 387 417 516 556 774 834 1032 1112 1251 1548 1668 2502 3096 3336 5004 5977 10008 11954 17931 23908 35862 47816 53793 71724 107586 143448 215172 430344