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196344 = 2335101
BaseRepresentation
bin101111111011111000
3100222100000
4233323320
522240334
64113000
71445301
oct577370
9328300
10196344
11124575
1295760
136b4a5
14517a8
153d299
hex2fef8

196344 has 48 divisors (see below), whose sum is σ = 556920. Its totient is φ = 64800.

The previous prime is 196337. The next prime is 196379. The reversal of 196344 is 443691.

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

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

It is a congruent number.

It is an unprimeable number.

196344 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 11 ways as a sum of consecutive naturals, for example, 1894 + ... + 1994.

2196344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278460).

196344 is an abundant number, since it is smaller than the sum of its proper divisors (360576).

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

196344 is a wasteful number, since it uses less digits than its factorization.

196344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

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

The square root of 196344 is about 443.1072105033. The cubic root of 196344 is about 58.1218208459.

The spelling of 196344 in words is "one hundred ninety-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 101 108 162 202 216 243 303 324 404 486 606 648 808 909 972 1212 1818 1944 2424 2727 3636 5454 7272 8181 10908 16362 21816 24543 32724 49086 65448 98172 196344