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834402213 = 32421220217
BaseRepresentation
bin110001101110111…
…111011110100101
32011011002000122200
4301232333132211
53202101332323
6214444045113
726451205341
oct6156773645
92134060580
10834402213
11398aa8807
121b3533799
13103b39828
147cb62621
154d3c0443
hex31bbf7a5

834402213 has 12 divisors (see below), whose sum is σ = 1208115948. Its totient is φ = 554944320.

The previous prime is 834402197. The next prime is 834402251. The reversal of 834402213 is 312204438.

834402213 is a `hidden beast` number, since 8 + 3 + 440 + 2 + 213 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 417507489 + 416894724 = 20433^2 + 20418^2 .

It is not a de Polignac number, because 834402213 - 24 = 834402197 is a prime.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (834402253) 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, 106320 + ... + 113897.

It is an arithmetic number, because the mean of its divisors is an integer number (100676329).

Almost surely, 2834402213 is an apocalyptic number.

It is an amenable number.

834402213 is a deficient number, since it is larger than the sum of its proper divisors (373713735).

834402213 is a wasteful number, since it uses less digits than its factorization.

834402213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220644 (or 220641 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 834402213 is about 28886.0210655604. The cubic root of 834402213 is about 941.4381986923.

The spelling of 834402213 in words is "eight hundred thirty-four million, four hundred two thousand, two hundred thirteen".

Divisors: 1 3 9 421 1263 3789 220217 660651 1981953 92711357 278134071 834402213