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47344 = 2411269
BaseRepresentation
bin1011100011110000
32101221111
423203300
53003334
61003104
7255013
oct134360
971844
1047344
1132630
1223494
131871b
141337a
15e064
hexb8f0

47344 has 20 divisors (see below), whose sum is σ = 100440. Its totient is φ = 21440.

The previous prime is 47339. The next prime is 47351. The reversal of 47344 is 44374.

47344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

47344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42 + ... + 310.

It is an arithmetic number, because the mean of its divisors is an integer number (5022).

247344 is an apocalyptic number.

47344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50220).

47344 is an abundant number, since it is smaller than the sum of its proper divisors (53096).

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

47344 is a wasteful number, since it uses less digits than its factorization.

47344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its digits is 1344, while the sum is 22.

The square root of 47344 is about 217.5867643033. The cubic root of 47344 is about 36.1760919840.

The spelling of 47344 in words is "forty-seven thousand, three hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 8 11 16 22 44 88 176 269 538 1076 2152 2959 4304 5918 11836 23672 47344