Search a number
-
+
5334350304 = 253177394423
BaseRepresentation
bin1001111011111001…
…11011100111100000
3111202202112001221210
410331330323213200
541411043202204
62241153350120
7246122141463
oct47574734740
914682461853
105334350304
112298113378
12104a568340
136701c57ca
143886572da
1521349d389
hex13df3b9e0

5334350304 has 96 divisors (see below), whose sum is σ = 14849775360. Its totient is φ = 1670879232.

The previous prime is 5334350299. The next prime is 5334350311. The reversal of 5334350304 is 4030534335.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 1203837 + ... + 1208259.

It is an arithmetic number, because the mean of its divisors is an integer number (154685160).

Almost surely, 25334350304 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 5334350304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7424887680).

5334350304 is an abundant number, since it is smaller than the sum of its proper divisors (9515425056).

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

5334350304 is a wasteful number, since it uses less digits than its factorization.

5334350304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5192 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

The square root of 5334350304 is about 73036.6367243180. The cubic root of 5334350304 is about 1747.2719731283.

Adding to 5334350304 its reverse (4030534335), we get a palindrome (9364884639).

The spelling of 5334350304 in words is "five billion, three hundred thirty-four million, three hundred fifty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 739 816 1478 1632 2217 2956 4423 4434 5912 8846 8868 11824 12563 13269 17692 17736 23648 25126 26538 35384 35472 37689 50252 53076 70768 70944 75191 75378 100504 106152 141536 150382 150756 201008 212304 225573 300764 301512 402016 424608 451146 601528 603024 902292 1203056 1206048 1804584 2406112 3268597 3609168 6537194 7218336 9805791 13074388 19611582 26148776 39223164 52297552 55566149 78446328 104595104 111132298 156892656 166698447 222264596 313785312 333396894 444529192 666793788 889058384 1333587576 1778116768 2667175152 5334350304