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432030420 = 223252400169
BaseRepresentation
bin11001110000000…
…100001011010100
31010002221102022200
4121300010023110
51341044433140
6110511524500
713464124623
oct3160041324
91102842280
10432030420
11201962938
12100829730
136b677803
14415416ba
1527dde030
hex19c042d4

432030420 has 36 divisors (see below), whose sum is σ = 1310492820. Its totient is φ = 115208064.

The previous prime is 432030419. The next prime is 432030427. The reversal of 432030420 is 24030234.

432030420 is a `hidden beast` number, since 43 + 203 + 0 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 76632516 + 355397904 = 8754^2 + 18852^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 432030393 and 432030402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432030427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1199905 + ... + 1200264.

Almost surely, 2432030420 is an apocalyptic number.

It is an amenable number.

432030420 is an abundant number, since it is smaller than the sum of its proper divisors (878462400).

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

432030420 is a wasteful number, since it uses less digits than its factorization.

432030420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400184 (or 2400179 counting only the distinct ones).

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

The square root of 432030420 is about 20785.3414694106. The cubic root of 432030420 is about 755.9703734086.

Adding to 432030420 its reverse (24030234), we get a palindrome (456060654).

The spelling of 432030420 in words is "four hundred thirty-two million, thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2400169 4800338 7200507 9600676 12000845 14401014 21601521 24001690 28802028 36002535 43203042 48003380 72005070 86406084 108007605 144010140 216015210 432030420