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432240045 = 351710915551
BaseRepresentation
bin11001110000110…
…111010110101101
31010010100001212120
4121300313112231
51341123140140
6110520223153
713465660026
oct3160672655
91103301776
10432240045
11201a96386
1210090aab9
136b71c053
1441597c4d
1527e311d0
hex19c375ad

432240045 has 32 divisors (see below), whose sum is σ = 739031040. Its totient is φ = 214963200.

The previous prime is 432240043. The next prime is 432240097. The reversal of 432240045 is 540042234.

It is not a de Polignac number, because 432240045 - 21 = 432240043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 432239997 and 432240024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432240043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20020 + ... + 35570.

It is an arithmetic number, because the mean of its divisors is an integer number (23094720).

Almost surely, 2432240045 is an apocalyptic number.

It is an amenable number.

432240045 is a deficient number, since it is larger than the sum of its proper divisors (306790995).

432240045 is a wasteful number, since it uses less digits than its factorization.

432240045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15685.

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 432240045 is about 20790.3834740969. The cubic root of 432240045 is about 756.0926214870.

Adding to 432240045 its reverse (540042234), we get a palindrome (972282279).

The spelling of 432240045 in words is "four hundred thirty-two million, two hundred forty thousand, forty-five".

Divisors: 1 3 5 15 17 51 85 109 255 327 545 1635 1853 5559 9265 15551 27795 46653 77755 233265 264367 793101 1321835 1695059 3965505 5085177 8475295 25425885 28816003 86448009 144080015 432240045