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106434 = 23673
BaseRepresentation
bin11001111111000010
312102000000
4121333002
511401214
62140430
7622206
oct317702
9172000
10106434
1172a69
1251716
13395a3
142ab06
1521809
hex19fc2

106434 has 28 divisors (see below), whose sum is σ = 242646. Its totient is φ = 34992.

The previous prime is 106433. The next prime is 106441. The reversal of 106434 is 434601.

It can be written as a sum of positive squares in only one way, i.e., 88209 + 18225 = 297^2 + 135^2 .

It is a super-2 number, since 2×1064342 = 22656392712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106434.

It is not an unprimeable number, because it can be changed into a prime (106433) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1422 + ... + 1494.

2106434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121323).

106434 is an abundant number, since it is smaller than the sum of its proper divisors (136212).

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

106434 is an frugal number, since it uses more digits than its factorization.

106434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 106434 is about 326.2422412871. The cubic root of 106434 is about 47.3907368535.

The spelling of 106434 in words is "one hundred six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 243 438 486 657 729 1314 1458 1971 3942 5913 11826 17739 35478 53217 106434