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834011136 = 217327101
BaseRepresentation
bin110001101101100…
…000000000000000
32011010100011012100
4301231200000000
53202001324021
6214431430400
726444656230
oct6155400000
92133304170
10834011136
11398860a02
121b3385400
13103a3081a
147ca9dcc0
154d344626
hex31b60000

834011136 has 216 divisors, whose sum is σ = 2780812944. Its totient is φ = 235929600.

The previous prime is 834011131. The next prime is 834011149. The reversal of 834011136 is 631110438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834011131) 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, 8257486 + ... + 8257586.

It is an arithmetic number, because the mean of its divisors is an integer number (12874134).

Almost surely, 2834011136 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 834011136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390406472).

834011136 is an abundant number, since it is smaller than the sum of its proper divisors (1946801808).

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

834011136 is an equidigital number, since it uses as much as digits as its factorization.

834011136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

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

The square root of 834011136 is about 28879.2509598154. The cubic root of 834011136 is about 941.2910944318.

The spelling of 834011136 in words is "eight hundred thirty-four million, eleven thousand, one hundred thirty-six".