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164358 = 23223397
BaseRepresentation
bin101000001000000110
322100110100
4220020012
520224413
63304530
71253115
oct501006
9270410
10164358
11102537
127b146
1359a6c
1443c7c
1533a73
hex28206

164358 has 24 divisors (see below), whose sum is σ = 372528. Its totient is φ = 52272.

The previous prime is 164357. The next prime is 164363. The reversal of 164358 is 853461.

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 164358.

It is not an unprimeable number, because it can be changed into a prime (164357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216 + ... + 612.

It is an arithmetic number, because the mean of its divisors is an integer number (15522).

2164358 is an apocalyptic number.

164358 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186264).

164358 is an abundant number, since it is smaller than the sum of its proper divisors (208170).

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

164358 is a wasteful number, since it uses less digits than its factorization.

164358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 425 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 164358 is about 405.4109026654. The cubic root of 164358 is about 54.7768367839.

The spelling of 164358 in words is "one hundred sixty-four thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 397 414 794 1191 2382 3573 7146 9131 18262 27393 54786 82179 164358