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4434444344 = 2311232419091
BaseRepresentation
bin1000010000101000…
…00100000000111000
3102110001012010001102
410020110010000320
533040204204334
62012005310532
7214614104111
oct41024040070
912401163042
104434444344
111976145740
12a39105448
13558932b85
14300d23208
151ae48e67e
hex108504038

4434444344 has 64 divisors (see below), whose sum is σ = 9505140480. Its totient is φ = 1919808000.

The previous prime is 4434444323. The next prime is 4434444347.

4434444344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4434444298 and 4434444307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4434444347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483239 + ... + 492329.

It is an arithmetic number, because the mean of its divisors is an integer number (148517820).

Almost surely, 24434444344 is an apocalyptic number.

4434444344 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 4434444344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752570240).

4434444344 is an abundant number, since it is smaller than the sum of its proper divisors (5070696136).

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

4434444344 is a wasteful number, since it uses less digits than its factorization.

4434444344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9372 (or 9368 counting only the distinct ones).

The product of its digits is 589824, while the sum is 38.

The square root of 4434444344 is about 66591.6236774566. The cubic root of 4434444344 is about 1642.9073384580.

It can be divided in two parts, 44344 and 44344, that added together give a palindrome (88688).

The spelling of 4434444344 in words is "four billion, four hundred thirty-four million, four hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 241 253 482 506 964 1012 1928 2024 2651 5302 5543 9091 10604 11086 18182 21208 22172 36364 44344 60973 72728 100001 121946 200002 209093 243892 400004 418186 487784 800008 836372 1672744 2190931 2300023 4381862 4600046 8763724 9200092 17527448 18400184 24100241 48200482 50391413 96400964 100782826 192801928 201565652 403131304 554305543 1108611086 2217222172 4434444344