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4334046704 = 2413127191859
BaseRepresentation
bin1000000100101010…
…00100110111110000
3102012001021101101022
410002111010313300
532334003443304
61554021355012
7212254534451
oct40225046760
912161241338
104334046704
111924502489
12a0b568a68
13540bb03a0
142d186b128
151a575bebe
hex102544df0

4334046704 has 80 divisors (see below), whose sum is σ = 9172746240. Its totient is φ = 1971889920.

The previous prime is 4334046677. The next prime is 4334046707. The reversal of 4334046704 is 4076404334.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4334046707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5045027 + ... + 5045885.

It is an arithmetic number, because the mean of its divisors is an integer number (114659328).

Almost surely, 24334046704 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 4334046704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586373120).

4334046704 is an abundant number, since it is smaller than the sum of its proper divisors (4838699536).

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

4334046704 is a wasteful number, since it uses less digits than its factorization.

4334046704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 35.

The square root of 4334046704 is about 65833.4770766363. The cubic root of 4334046704 is about 1630.4138741029.

The spelling of 4334046704 in words is "four billion, three hundred thirty-four million, forty-six thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 127 191 208 254 382 508 764 859 1016 1528 1651 1718 2032 2483 3056 3302 3436 4966 6604 6872 9932 11167 13208 13744 19864 22334 24257 26416 39728 44668 48514 89336 97028 109093 164069 178672 194056 218186 315341 328138 388112 436372 630682 656276 872744 1261364 1312552 1418209 1745488 2132897 2522728 2625104 2836418 4265794 5045456 5672836 8531588 11345672 17063176 20836763 22691344 34126352 41673526 83347052 166694104 270877919 333388208 541755838 1083511676 2167023352 4334046704