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4334134304 = 25319294703
BaseRepresentation
bin1000000100101010…
…11010010000100000
3102012001102211112202
410002111122100200
532334014244204
61554023312332
7212255351033
oct40225322040
912161384482
104334134304
111924562285
12a0b5ab6a8
13540c11216
142d189101a
151a5777e1e
hex10255a420

4334134304 has 48 divisors (see below), whose sum is σ = 8819435520. Its totient is φ = 2094458880.

The previous prime is 4334134297. The next prime is 4334134351. The reversal of 4334134304 is 4034314334.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 919217 + ... + 923919.

It is an arithmetic number, because the mean of its divisors is an integer number (183738240).

Almost surely, 24334134304 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 4334134304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4409717760).

4334134304 is an abundant number, since it is smaller than the sum of its proper divisors (4485301216).

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

4334134304 is a wasteful number, since it uses less digits than its factorization.

4334134304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5673 (or 5665 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

The square root of 4334134304 is about 65834.1423882775. The cubic root of 4334134304 is about 1630.4248587018.

Adding to 4334134304 its reverse (4034314334), we get a palindrome (8368448638).

The spelling of 4334134304 in words is "four billion, three hundred thirty-four million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 929 992 1858 3716 4703 7432 9406 14864 18812 28799 29728 37624 57598 75248 115196 145793 150496 230392 291586 460784 583172 921568 1166344 2332688 4369087 4665376 8738174 17476348 34952696 69905392 135441697 139810784 270883394 541766788 1083533576 2167067152 4334134304