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4431032034 = 2311135397441
BaseRepresentation
bin1000010000001110…
…00010111011100010
3102102210202202020120
410020013002323202
533033321011114
62011404221110
7214543102512
oct41007027342
912383682216
104431032034
111974224a50
12a37b3a796
13558009960
143006b5842
151ae0185a9
hex1081c2ee2

4431032034 has 64 divisors (see below), whose sum is σ = 10607925888. Its totient is φ = 1216051200.

The previous prime is 4431031961. The next prime is 4431032057. The reversal of 4431032034 is 4302301344.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4431031995 and 4431032013.

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 31 ways as a sum of consecutive naturals, for example, 3247 + ... + 94194.

It is an arithmetic number, because the mean of its divisors is an integer number (165748842).

Almost surely, 24431032034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4431032034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303962944).

4431032034 is an abundant number, since it is smaller than the sum of its proper divisors (6176893854).

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

4431032034 is a wasteful number, since it uses less digits than its factorization.

4431032034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97523.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4431032034 is about 66565.9975813478. The cubic root of 4431032034 is about 1642.4858239616.

Adding to 4431032034 its reverse (4302301344), we get a palindrome (8733333378).

The spelling of 4431032034 in words is "four billion, four hundred thirty-one million, thirty-two thousand, thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 53 66 78 106 143 159 286 318 429 583 689 858 1166 1378 1749 2067 3498 4134 7579 15158 22737 45474 97441 194882 292323 584646 1071851 1266733 2143702 2533466 3215553 3800199 5164373 6431106 7600398 10328746 13934063 15493119 27868126 30986238 41802189 56808103 67136849 83604378 113616206 134273698 170424309 201410547 340848618 402821094 738505339 1477010678 2215516017 4431032034