Search a number
-
+
834466336 = 25112613533
BaseRepresentation
bin110001101111001…
…111001000100000
32011011012021121121
4301233033020200
53202110410321
6214445302024
726451563314
oct6157171040
92134167547
10834466336
11399041a00
121b3564914
13103b5ca82
147cb7bb44
154d3d4441
hex31bcf220

834466336 has 72 divisors (see below), whose sum is σ = 1835905932. Its totient is φ = 372979200.

The previous prime is 834466333. The next prime is 834466351. The reversal of 834466336 is 633664438.

It can be written as a sum of positive squares in 2 ways, for example, as 820478736 + 13987600 = 28644^2 + 3740^2 .

It is a junction number, because it is equal to n+sod(n) for n = 834466292 and 834466301.

It is not an unprimeable number, because it can be changed into a prime (834466333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234426 + ... + 237958.

Almost surely, 2834466336 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 834466336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917952966).

834466336 is an abundant number, since it is smaller than the sum of its proper divisors (1001439596).

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

834466336 is a wasteful number, since it uses less digits than its factorization.

834466336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3607 counting only the distinct ones).

The product of its digits is 746496, while the sum is 43.

The square root of 834466336 is about 28887.1309755746. The cubic root of 834466336 is about 941.4623142784.

The spelling of 834466336 in words is "eight hundred thirty-four million, four hundred sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 121 122 176 242 244 352 484 488 671 968 976 1342 1936 1952 2684 3533 3872 5368 7066 7381 10736 14132 14762 21472 28264 29524 38863 56528 59048 77726 113056 118096 155452 215513 236192 310904 427493 431026 621808 854986 862052 1243616 1709972 1724104 2370643 3419944 3448208 4741286 6839888 6896416 9482572 13679776 18965144 26077073 37930288 52154146 75860576 104308292 208616584 417233168 834466336