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443434434344 = 2311101263189701
BaseRepresentation
bin1100111001111101100…
…00000111111100101000
31120101120201010020201022
412130332300013330220
524231123203344334
6535413322512012
744015501333636
oct6347660077450
91511521106638
10443434434344
111610721a5830
1271b35365608
1332a7b0b1b75
1417668942356
15b804b8a82e
hex673ec07f28

443434434344 has 64 divisors (see below), whose sum is σ = 919493182080. Its totient is φ = 198805600000.

The previous prime is 443434434301. The next prime is 443434434409.

443434434344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 443434434295 and 443434434304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2242694 + ... + 2432394.

It is an arithmetic number, because the mean of its divisors is an integer number (14367080970).

Almost surely, 2443434434344 is an apocalyptic number.

443434434344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443434434344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459746591040).

443434434344 is an abundant number, since it is smaller than the sum of its proper divisors (476058747736).

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

443434434344 is a wasteful number, since it uses less digits than its factorization.

443434434344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190082 (or 190078 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 44.

It can be divided in two parts, 443434 and 434344, that added together give a palindrome (877778).

The spelling of 443434434344 in words is "four hundred forty-three billion, four hundred thirty-four million, four hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 101 202 263 404 526 808 1052 1111 2104 2222 2893 4444 5786 8888 11572 23144 26563 53126 106252 189701 212504 292193 379402 584386 758804 1168772 1517608 2086711 2337544 4173422 8346844 16693688 19159801 38319602 49891363 76639204 99782726 153278408 199565452 210757811 399130904 421515622 548804993 843031244 1097609986 1686062488 2195219972 4390439944 5039027663 10078055326 20156110652 40312221304 55429304293 110858608586 221717217172 443434434344