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432400420 = 22521620021
BaseRepresentation
bin11001110001011…
…110100000100100
31010010122012212101
4121301132200210
51341143303140
6110523501444
713500225424
oct3161364044
91103565771
10432400420
11202095921
12100987884
136b77704a
14415da484
1527e6399a
hex19c5e824

432400420 has 12 divisors (see below), whose sum is σ = 908040924. Its totient is φ = 172960160.

The previous prime is 432400403. The next prime is 432400433. The reversal of 432400420 is 24004234.

It can be written as a sum of positive squares in 2 ways, for example, as 53553124 + 378847296 = 7318^2 + 19464^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 10809991 + ... + 10810030.

It is an arithmetic number, because the mean of its divisors is an integer number (75670077).

Almost surely, 2432400420 is an apocalyptic number.

It is an amenable number.

432400420 is an abundant number, since it is smaller than the sum of its proper divisors (475640504).

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

432400420 is a wasteful number, since it uses less digits than its factorization.

432400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21620030 (or 21620028 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 432400420 is about 20794.2400678649. The cubic root of 432400420 is about 756.1861215084.

Adding to 432400420 its reverse (24004234), we get a palindrome (456404654).

The spelling of 432400420 in words is "four hundred thirty-two million, four hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 21620021 43240042 86480084 108100105 216200210 432400420