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4342729536 = 263212975813
BaseRepresentation
bin1000000101101100…
…01100101101000000
3102012122121111222200
410002312030231000
532343214321121
61554531433200
7212421410025
oct40266145500
912178544880
104342729536
1119293a2a82
12a12455800
13542930562
142d2a8b54c
151a63c4a26
hex102d8cb40

4342729536 has 84 divisors (see below), whose sum is σ = 12459390372. Its totient is φ = 1446211584.

The previous prime is 4342729463. The next prime is 4342729541. The reversal of 4342729536 is 6359272434.

4342729536 is a `hidden beast` number, since 4 + 3 + 42 + 72 + 9 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3911751936 + 430977600 = 62544^2 + 20760^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4342729491 and 4342729500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 744166 + ... + 749978.

Almost surely, 24342729536 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 4342729536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6229695186).

4342729536 is an abundant number, since it is smaller than the sum of its proper divisors (8116660836).

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

4342729536 is a wasteful number, since it uses less digits than its factorization.

4342729536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7128 (or 7115 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 4342729536 is about 65899.3894964134. The cubic root of 4342729536 is about 1631.5019385568.

The spelling of 4342729536 in words is "four billion, three hundred forty-two million, seven hundred twenty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1297 2594 3891 5188 5813 7782 10376 11626 11673 15564 17439 20752 23252 23346 31128 34878 41504 46504 46692 52317 62256 69756 83008 93008 93384 104634 124512 139512 186016 186768 209268 249024 279024 372032 373536 418536 558048 747072 837072 1116096 1674144 3348288 7539461 15078922 22618383 30157844 45236766 60315688 67855149 90473532 120631376 135710298 180947064 241262752 271420596 361894128 482525504 542841192 723788256 1085682384 1447576512 2171364768 4342729536