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834416 = 24112431
BaseRepresentation
bin11001011101101110000
31120101121022
43023231300
5203200131
625515012
710043462
oct3135560
91511538
10834416
1151aa00
12342a68
13232a4b
1417a132
1511737b
hexcbb70

834416 has 30 divisors (see below), whose sum is σ = 1781136. Its totient is φ = 378400.

The previous prime is 834367. The next prime is 834433. The reversal of 834416 is 614438.

It is a super-2 number, since 2×8344162 = 1392500122112, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

834416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1721 + ... + 2151.

2834416 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 834416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890568).

834416 is an abundant number, since it is smaller than the sum of its proper divisors (946720).

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

834416 is a wasteful number, since it uses less digits than its factorization.

834416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 444 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 834416 is about 913.4637376492. The cubic root of 834416 is about 94.1443383856.

The spelling of 834416 in words is "eight hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 431 484 862 968 1724 1936 3448 4741 6896 9482 18964 37928 52151 75856 104302 208604 417208 834416