Search a number
-
+
834255968 = 25721340927
BaseRepresentation
bin110001101110011…
…011110001100000
32011010210121001012
4301232123301200
53202032142333
6214441000052
726450026100
oct6156336140
92133717035
10834255968
11398a08947
121b3483028
13103ab80b0
147cb25200
154d391e48
hex31b9bc60

834255968 has 72 divisors (see below), whose sum is σ = 2057614272. Its totient is φ = 330027264.

The previous prime is 834255967. The next prime is 834256051. The reversal of 834255968 is 869552438.

834255968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834255967) 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, 80 + ... + 40847.

It is an arithmetic number, because the mean of its divisors is an integer number (28577976).

Almost surely, 2834255968 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 834255968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028807136).

834255968 is an abundant number, since it is smaller than the sum of its proper divisors (1223358304).

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

834255968 is a wasteful number, since it uses less digits than its factorization.

834255968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40964 (or 40949 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 50.

The square root of 834255968 is about 28883.4895398738. The cubic root of 834255968 is about 941.3831937751.

The spelling of 834255968 in words is "eight hundred thirty-four million, two hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1456 1568 2548 2912 5096 10192 20384 40927 81854 163708 286489 327416 532051 572978 654832 1064102 1145956 1309664 2005423 2128204 2291912 3724357 4010846 4256408 4583824 7448714 8021692 8512816 9167648 14897428 16043384 17025632 26070499 29794856 32086768 52140998 59589712 64173536 104281996 119179424 208563992 417127984 834255968