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434342424 = 23359306739
BaseRepresentation
bin11001111000111…
…000101000011000
31010021021212210110
4121320320220120
51342142424144
6111033244320
713522564305
oct3170705030
91107255713
10434342424
112031a198a
121015636a0
136bca6c69
14419840ac
15281e90b9
hex19e38a18

434342424 has 32 divisors (see below), whose sum is σ = 1104264000. Its totient is φ = 142326432.

The previous prime is 434342423. The next prime is 434342431. The reversal of 434342424 is 424243434.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 434342391 and 434342400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434342423) 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 7 ways as a sum of consecutive naturals, for example, 151954 + ... + 154785.

It is an arithmetic number, because the mean of its divisors is an integer number (34508250).

Almost surely, 2434342424 is an apocalyptic number.

It is an amenable number.

434342424 is an abundant number, since it is smaller than the sum of its proper divisors (669921576).

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

434342424 is a wasteful number, since it uses less digits than its factorization.

434342424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306807 (or 306803 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 434342424 is about 20840.8834745555. The cubic root of 434342424 is about 757.3164961941.

Adding to 434342424 its reverse (424243434), we get a palindrome (858585858).

The spelling of 434342424 in words is "four hundred thirty-four million, three hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1416 306739 613478 920217 1226956 1840434 2453912 3680868 7361736 18097601 36195202 54292803 72390404 108585606 144780808 217171212 434342424