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834312393 = 3431332263
BaseRepresentation
bin110001101110101…
…001100011001001
32011010220110110000
4301232221203021
53202040444033
6214442113213
726450352435
oct6156514311
92133813400
10834312393
11398a47282
121b34ab809
13103b07995
147cb3b9c5
154d3a3a13
hex31ba98c9

834312393 has 20 divisors (see below), whose sum is σ = 1286526208. Its totient is φ = 538264440.

The previous prime is 834312361. The next prime is 834312421. The reversal of 834312393 is 393213438.

834312393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 834312393 - 25 = 834312361 is a prime.

It is a super-2 number, since 2×8343123932 = 1392154338226772898, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (834312313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 163621 + ... + 168642.

Almost surely, 2834312393 is an apocalyptic number.

It is an amenable number.

834312393 is a deficient number, since it is larger than the sum of its proper divisors (452213815).

834312393 is a wasteful number, since it uses less digits than its factorization.

834312393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332306 (or 332297 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 834312393 is about 28884.4662924555. The cubic root of 834312393 is about 941.4044168175.

It can be divided in two parts, 8343 and 12393, that added together give a 4-th power (20736 = 124).

The spelling of 834312393 in words is "eight hundred thirty-four million, three hundred twelve thousand, three hundred ninety-three".

Divisors: 1 3 9 27 31 81 93 279 837 2511 332263 996789 2990367 8971101 10300153 26913303 30900459 92701377 278104131 834312393