Search a number
-
+
134035328 = 277227659
BaseRepresentation
bin1111111110100…
…11011110000000
3100100012200220102
413333103132000
5233303112303
621144501532
73215165360
oct777233600
9310180812
10134035328
11697287a9
1238a7a8a8
13219cc45b
1413b309a0
15bb79288
hex7fd3780

134035328 has 64 divisors (see below), whose sum is σ = 306979200. Its totient is φ = 57103872.

The previous prime is 134035249. The next prime is 134035331. The reversal of 134035328 is 823530431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 134035328.

It is a congruent number.

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, 203063 + ... + 203721.

It is an arithmetic number, because the mean of its divisors is an integer number (4796550).

Almost surely, 2134035328 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 134035328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153489600).

134035328 is an abundant number, since it is smaller than the sum of its proper divisors (172943872).

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

134035328 is an equidigital number, since it uses as much as digits as its factorization.

134035328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 134035328 is about 11577.3627394152. The cubic root of 134035328 is about 511.7679612620.

Adding to 134035328 its reverse (823530431), we get a palindrome (957565759).

The spelling of 134035328 in words is "one hundred thirty-four million, thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 227 448 454 659 896 908 1318 1589 1816 2636 3178 3632 4613 5272 6356 7264 9226 10544 12712 14528 18452 21088 25424 29056 36904 42176 50848 73808 84352 101696 147616 149593 203392 295232 299186 590464 598372 1047151 1196744 2094302 2393488 4188604 4786976 8377208 9573952 16754416 19147904 33508832 67017664 134035328