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42432345 = 3257312917
BaseRepresentation
bin1010000111011…
…1011101011001
32221211210020100
42201313131121
541330313340
64113250013
71023445314
oct241673531
987753210
1042432345
1121a5205a
1212263909
138a389c7
1458c797b
153ad2830
hex2877759

42432345 has 24 divisors (see below), whose sum is σ = 74562696. Its totient is φ = 22318848.

The previous prime is 42432337. The next prime is 42432347. The reversal of 42432345 is 54323424.

42432345 is a `hidden beast` number, since 424 + 3 + 234 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5817744 + 36614601 = 2412^2 + 6051^2 .

It is not a de Polignac number, because 42432345 - 23 = 42432337 is a prime.

It is a Curzon number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (42432347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3174 + ... + 9743.

It is an arithmetic number, because the mean of its divisors is an integer number (3106779).

Almost surely, 242432345 is an apocalyptic number.

42432345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42432345 is a deficient number, since it is larger than the sum of its proper divisors (32130351).

42432345 is a wasteful number, since it uses less digits than its factorization.

42432345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13001 (or 12998 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 42432345 is about 6514.0114368951. The cubic root of 42432345 is about 348.7913274337.

Adding to 42432345 its reverse (54323424), we get a palindrome (96755769).

The spelling of 42432345 in words is "forty-two million, four hundred thirty-two thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 73 219 365 657 1095 3285 12917 38751 64585 116253 193755 581265 942941 2828823 4714705 8486469 14144115 42432345