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16344 = 2332227
BaseRepresentation
bin11111111011000
3211102100
43333120
51010334
6203400
765436
oct37730
924370
1016344
1111309
129560
137593
145d56
154c99
hex3fd8

16344 has 24 divisors (see below), whose sum is σ = 44460. Its totient is φ = 5424.

The previous prime is 16339. The next prime is 16349. The reversal of 16344 is 44361.

It is an interprime number because it is at equal distance from previous prime (16339) and next prime (16349).

It is a tau number, because it is divible by the number of its divisors (24).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (16349) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42 + ... + 185.

216344 is an apocalyptic number.

It is an amenable number.

16344 is an abundant number, since it is smaller than the sum of its proper divisors (28116).

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

16344 is a wasteful number, since it uses less digits than its factorization.

16344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 232 counting only the distinct ones).

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

The square root of 16344 is about 127.8436545160. The cubic root of 16344 is about 25.3777307034.

The spelling of 16344 in words is "sixteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 227 454 681 908 1362 1816 2043 2724 4086 5448 8172 16344