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835434 = 237191
BaseRepresentation
bin11001011111101101010
31120110000000
43023331222
5203213214
625523430
710046445
oct3137552
91513000
10835434
11520746
12343576
13233352
1417a65c
15117809
hexcbf6a

835434 has 32 divisors (see below), whose sum is σ = 1889280. Its totient is φ = 277020.

The previous prime is 835427. The next prime is 835441. The reversal of 835434 is 434538.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (835427) and next prime (835441).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 835398 and 835407.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 835434.

It is an unprimeable number.

835434 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4279 + ... + 4469.

It is an arithmetic number, because the mean of its divisors is an integer number (59040).

2835434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 835434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944640).

835434 is an abundant number, since it is smaller than the sum of its proper divisors (1053846).

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

835434 is an equidigital number, since it uses as much as digits as its factorization.

835434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 835434 is about 914.0207875098. The cubic root of 835434 is about 94.1826086600.

The spelling of 835434 in words is "eight hundred thirty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 191 243 382 486 573 729 1146 1458 1719 2187 3438 4374 5157 10314 15471 30942 46413 92826 139239 278478 417717 835434