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834912 = 253213223
BaseRepresentation
bin11001011110101100000
31120102021200
43023311200
5203204122
625521200
710045101
oct3136540
91512250
10834912
11520311
12343200
13233040
1417a3a8
151175ac
hexcbd60

834912 has 72 divisors (see below), whose sum is σ = 2568384. Its totient is φ = 255744.

The previous prime is 834893. The next prime is 834913. The reversal of 834912 is 219438.

834912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834913) by changing a digit.

834912 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3633 + ... + 3855.

It is an arithmetic number, because the mean of its divisors is an integer number (35672).

2834912 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 834912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284192).

834912 is an abundant number, since it is smaller than the sum of its proper divisors (1733472).

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

834912 is a wasteful number, since it uses less digits than its factorization.

834912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 834912 is about 913.7351913985. The cubic root of 834912 is about 94.1629886922.

The spelling of 834912 in words is "eight hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 223 234 288 312 416 446 468 624 669 892 936 1248 1338 1784 1872 2007 2676 2899 3568 3744 4014 5352 5798 7136 8028 8697 10704 11596 16056 17394 21408 23192 26091 32112 34788 46384 52182 64224 69576 92768 104364 139152 208728 278304 417456 834912