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4350000534 = 23112337411889
BaseRepresentation
bin1000000110100011…
…11011110110010110
3102020011021220220220
410003101323312112
532402100004114
61555351335210
7212540252205
oct40321736626
912204256826
104350000534
111932509870
12a14981506
135442a7c19
142d3a2123c
151a6d5e0a9
hex10347bd96

4350000534 has 128 divisors (see below), whose sum is σ = 10424816640. Its totient is φ = 1196236800.

The previous prime is 4350000533. The next prime is 4350000547.

It is a happy number.

4350000534 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4350000533) 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 63 ways as a sum of consecutive naturals, for example, 2301862 + ... + 2303750.

It is an arithmetic number, because the mean of its divisors is an integer number (81443880).

Almost surely, 24350000534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4350000534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212408320).

4350000534 is an abundant number, since it is smaller than the sum of its proper divisors (6074816106).

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

4350000534 is a wasteful number, since it uses less digits than its factorization.

4350000534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006.

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 4350000534 is about 65954.5338396080. The cubic root of 4350000534 is about 1632.4119678270.

It can be divided in two parts, 4350000 and 534, that added together give a palindrome (4350534).

The spelling of 4350000534 in words is "four billion, three hundred fifty million, five hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 23 33 37 41 46 66 69 74 82 111 123 138 222 246 253 407 451 506 759 814 851 902 943 1221 1353 1517 1518 1702 1886 1889 2442 2553 2706 2829 3034 3778 4551 5106 5658 5667 9102 9361 10373 11334 16687 18722 20746 20779 28083 31119 33374 34891 41558 43447 50061 56166 62238 62337 69782 69893 77449 86894 100122 104673 124674 130341 139786 154898 209346 209679 232347 260682 383801 419358 464694 477917 767602 768823 851939 955834 1151403 1433751 1537646 1607539 1703878 1781327 2302806 2306469 2555817 2865613 2867502 3215078 3562654 4612938 4822617 5111634 5343981 5731226 8596839 9645234 10687962 17193678 17682929 19594597 31521743 35365858 39189194 53048787 58783791 63043486 65909099 94565229 106097574 117567582 131818198 189130458 197727297 395454594 725000089 1450000178 2175000267 4350000534