Search a number
-
+
834331136 = 292117723
BaseRepresentation
bin110001101110101…
…110001000000000
32011010221102011012
4301232232020000
53202042044021
6214442340052
726450461202
oct6156561000
92133842135
10834331136
11398a5a371
121b34ba628
13103b13382
147cb44772
154d3a935b
hex31bae200

834331136 has 40 divisors (see below), whose sum is σ = 1675150224. Its totient is φ = 415134720.

The previous prime is 834331133. The next prime is 834331163. The reversal of 834331136 is 631133438.

It is a super-2 number, since 2×8343311362 = 1392216888998100992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (834331133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104171 + ... + 111893.

Almost surely, 2834331136 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 834331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837575112).

834331136 is an abundant number, since it is smaller than the sum of its proper divisors (840819088).

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

834331136 is an equidigital number, since it uses as much as digits as its factorization.

834331136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7952 (or 7936 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

The square root of 834331136 is about 28884.7907383799. The cubic root of 834331136 is about 941.4114663795.

The spelling of 834331136 in words is "eight hundred thirty-four million, three hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 211 256 422 512 844 1688 3376 6752 7723 13504 15446 27008 30892 54016 61784 108032 123568 247136 494272 988544 1629553 1977088 3259106 3954176 6518212 13036424 26072848 52145696 104291392 208582784 417165568 834331136