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47334 = 237323
BaseRepresentation
bin1011100011100110
32101221010
423203212
53003314
61003050
7255000
oct134346
971833
1047334
1132621
1223486
1318711
1413370
15e059
hexb8e6

47334 has 32 divisors (see below), whose sum is σ = 115200. Its totient is φ = 12936.

The previous prime is 47317. The next prime is 47339. The reversal of 47334 is 43374.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 47334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47339) by changing a digit.

47334 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 15 ways as a sum of consecutive naturals, for example, 2047 + ... + 2069.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

247334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57600).

47334 is an abundant number, since it is smaller than the sum of its proper divisors (67866).

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

47334 is a wasteful number, since it uses less digits than its factorization.

47334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 35 counting only the distinct ones).

The product of its digits is 1008, while the sum is 21.

The square root of 47334 is about 217.5637837509. The cubic root of 47334 is about 36.1735447665.

The spelling of 47334 in words is "forty-seven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 294 322 343 483 686 966 1029 1127 2058 2254 3381 6762 7889 15778 23667 47334