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4400728434 = 233195877307
BaseRepresentation
bin1000001100100110…
…11100100101110010
3102100200202011112000
410012103130211302
533003041302214
62004402514430
7214024401024
oct40623344562
912320664460
104400728434
111959107453
12a29965a16
1355195972b
142da668014
151ab52e809
hex1064dc972

4400728434 has 64 divisors (see below), whose sum is σ = 10313049600. Its totient is φ = 1387146384.

The previous prime is 4400728427. The next prime is 4400728439. The reversal of 4400728434 is 4348270044.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4400728439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598609 + ... + 605915.

It is an arithmetic number, because the mean of its divisors is an integer number (161141400).

Almost surely, 24400728434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400728434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5156524800).

4400728434 is an abundant number, since it is smaller than the sum of its proper divisors (5912321166).

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

4400728434 is a wasteful number, since it uses less digits than its factorization.

4400728434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7924 (or 7918 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 4400728434 is about 66337.9863577423. The cubic root of 4400728434 is about 1638.7329637071.

Adding to 4400728434 its reverse (4348270044), we get a palindrome (8748998478).

The spelling of 4400728434 in words is "four billion, four hundred million, seven hundred twenty-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 587 1026 1174 1761 3522 5283 7307 10566 11153 14614 15849 21921 22306 31698 33459 43842 65763 66918 100377 131526 138833 197289 200754 277666 301131 394578 416499 602262 832998 1249497 2498994 3748491 4289209 7496982 8578418 12867627 25735254 38602881 77205762 81494971 115808643 162989942 231617286 244484913 488969826 733454739 1466909478 2200364217 4400728434