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93834 = 23213401
BaseRepresentation
bin10110111010001010
311202201100
4112322022
511000314
62002230
7540366
oct267212
9152640
1093834
1164554
1246376
1333930
14262a6
151cc09
hex16e8a

93834 has 24 divisors (see below), whose sum is σ = 219492. Its totient is φ = 28800.

The previous prime is 93827. The next prime is 93851. The reversal of 93834 is 43839.

It can be written as a sum of positive squares in 2 ways, for example, as 91809 + 2025 = 303^2 + 45^2 .

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 93798 and 93807.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34 + ... + 434.

293834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109746).

93834 is an abundant number, since it is smaller than the sum of its proper divisors (125658).

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

93834 is a wasteful number, since it uses less digits than its factorization.

93834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 419 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 93834 is about 306.3233585609. The cubic root of 93834 is about 45.4415786043.

The spelling of 93834 in words is "ninety-three thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 401 802 1203 2406 3609 5213 7218 10426 15639 31278 46917 93834