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164412 = 22324567
BaseRepresentation
bin101000001000111100
322100112100
4220020330
520230122
63305100
71253223
oct501074
9270470
10164412
11102586
127b190
1359ab1
1443cba
1533aac
hex2823c

164412 has 18 divisors (see below), whose sum is σ = 415688. Its totient is φ = 54792.

The previous prime is 164387. The next prime is 164413. The reversal of 164412 is 214461.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×1644123 = 13332813119947584, which contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164413) by changing a digit.

164412 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 (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2248 + ... + 2319.

2164412 is an apocalyptic number.

164412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164412 is an abundant number, since it is smaller than the sum of its proper divisors (251276).

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

164412 is a wasteful number, since it uses less digits than its factorization.

164412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4577 (or 4572 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 164412 is about 405.4774962930. The cubic root of 164412 is about 54.7828351235.

Adding to 164412 its reverse (214461), we get a palindrome (378873).

It can be divided in two parts, 164 and 412, that added together give a square (576 = 242).

The spelling of 164412 in words is "one hundred sixty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 4567 9134 13701 18268 27402 41103 54804 82206 164412