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430014 = 231337149
BaseRepresentation
bin1101000111110111110
3210211212110
41220332332
5102230024
613114450
73440454
oct1507676
9724773
10430014
11274092
12188a26
13120960
14b29d4
1587629
hex68fbe

430014 has 32 divisors (see below), whose sum is σ = 957600. Its totient is φ = 127872.

The previous prime is 430013. The next prime is 430019. The reversal of 430014 is 410034.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2812 + ... + 2960.

It is an arithmetic number, because the mean of its divisors is an integer number (29925).

2430014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478800).

430014 is an abundant number, since it is smaller than the sum of its proper divisors (527586).

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

430014 is a wasteful number, since it uses less digits than its factorization.

430014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204.

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

The square root of 430014 is about 655.7545272432. The cubic root of 430014 is about 75.4792422797.

Adding to 430014 its reverse (410034), we get a palindrome (840048).

The spelling of 430014 in words is "four hundred thirty thousand, fourteen".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 149 222 298 447 481 894 962 1443 1937 2886 3874 5513 5811 11026 11622 16539 33078 71669 143338 215007 430014