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434404431 = 33113142381
BaseRepresentation
bin11001111001000…
…111110001001111
31010021102000212000
4121321013301033
51342201420211
6111034443343
713523243136
oct3171076117
91107360760
10434404431
1120323452a
12101593553
136bcc9256
144199c91d
152820c656
hex19e47c4f

434404431 has 16 divisors (see below), whose sum is σ = 649261920. Its totient is φ = 287038080.

The previous prime is 434404393. The next prime is 434404441. The reversal of 434404431 is 134404434.

It is not a de Polignac number, because 434404431 - 26 = 434404367 is a prime.

It is a super-2 number, since 2×4344044312 = 377414419344867522, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 434404395 and 434404404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434404441) 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 15 ways as a sum of consecutive naturals, for example, 68140 + ... + 74241.

It is an arithmetic number, because the mean of its divisors is an integer number (40578870).

Almost surely, 2434404431 is an apocalyptic number.

434404431 is a deficient number, since it is larger than the sum of its proper divisors (214857489).

434404431 is a wasteful number, since it uses less digits than its factorization.

434404431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142503 (or 142497 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 434404431 is about 20842.3710503388. The cubic root of 434404431 is about 757.3525328071.

Adding to 434404431 its reverse (134404434), we get a palindrome (568808865).

The spelling of 434404431 in words is "four hundred thirty-four million, four hundred four thousand, four hundred thirty-one".

Divisors: 1 3 9 27 113 339 1017 3051 142381 427143 1281429 3844287 16089053 48267159 144801477 434404431