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434414032 = 24138325163
BaseRepresentation
bin11001111001001…
…010000111010000
31010021102112000121
4121321022013100
51342202222112
6111035000024
713523313133
oct3171120720
91107375017
10434414032
11203240768
12101599014
136c000730
14419a221a
1528210407
hex19e4a1d0

434414032 has 40 divisors (see below), whose sum is σ = 917378784. Its totient is φ = 198075264.

The previous prime is 434414027. The next prime is 434414047. The reversal of 434414032 is 230414434.

It is a junction number, because it is equal to n+sod(n) for n = 434413988 and 434414006.

It is a congruent number.

It is an unprimeable number.

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, 4683 + ... + 29845.

Almost surely, 2434414032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434414032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458689392).

434414032 is an abundant number, since it is smaller than the sum of its proper divisors (482964752).

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

434414032 is a wasteful number, since it uses less digits than its factorization.

434414032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25267 (or 25261 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 434414032 is about 20842.6013731492. The cubic root of 434414032 is about 757.3581123144.

Adding to 434414032 its reverse (230414434), we get a palindrome (664828466).

The spelling of 434414032 in words is "four hundred thirty-four million, four hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 83 104 166 208 332 664 1079 1328 2158 4316 8632 17264 25163 50326 100652 201304 327119 402608 654238 1308476 2088529 2616952 4177058 5233904 8354116 16708232 27150877 33416464 54301754 108603508 217207016 434414032