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4345225434 = 23211210119753
BaseRepresentation
bin1000000101111111…
…01110000011011010
3102012211022022201100
410002333232003122
532344334203214
61555101132230
7212451543504
oct40277560332
912184268640
104345225434
11192a848200
12a1325a076
135432c5614
142d313ad74
151a6719309
hex102fee0da

4345225434 has 72 divisors (see below), whose sum is σ = 10451327796. Its totient is φ = 1303632000.

The previous prime is 4345225433. The next prime is 4345225439.

4345225434 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 4204874025 + 140351409 = 64845^2 + 11847^2 .

It is not an unprimeable number, because it can be changed into a prime (4345225433) 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 35 ways as a sum of consecutive naturals, for example, 210102 + ... + 229854.

Almost surely, 24345225434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4345225434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225663898).

4345225434 is an abundant number, since it is smaller than the sum of its proper divisors (6106102362).

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

4345225434 is a wasteful number, since it uses less digits than its factorization.

4345225434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19884 (or 19870 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

The square root of 4345225434 is about 65918.3239623096. The cubic root of 4345225434 is about 1631.8144365321.

It can be divided in two parts, 43452 and 25434, that added together give a palindrome (68886).

The spelling of 4345225434 in words is "four billion, three hundred forty-five million, two hundred twenty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 121 198 202 242 303 363 606 726 909 1089 1111 1818 2178 2222 3333 6666 9999 12221 19753 19998 24442 36663 39506 59259 73326 109989 118518 177777 217283 219978 355554 434566 651849 1303698 1955547 1995053 2390113 3911094 3990106 4780226 5985159 7170339 11970318 14340678 17955477 21511017 21945583 35910954 43022034 43891166 65836749 131673498 197510247 241401413 395020494 482802826 724204239 1448408478 2172612717 4345225434