47304 has 40 divisors (see below), whose sum is σ = 134310. Its totient is φ = 15552.

The previous prime is 47303. The next prime is 47309. The reversal of 47304 is 40374.

47304 divided by its sum of digits (18) gives a triangular number (2628 = T_{72}).

Adding to 47304 its reverse (40374), we get a palindrome (87678).

It can be divided in two parts, 47 and 304, that added together give a triangular number (351 = T_{26}).

It can be written as a sum of positive squares in only one way, i.e., 39204 + 8100 = 198^2 + 90^2 .

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

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (47303) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 612 + ... + 684.

2^{47304} 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 47304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67155).

47304 is an abundant number, since it is smaller than the sum of its proper divisors (87006).

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

47304 is a wasteful number, since it uses less digits than its factorization.

47304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 47304 is about 217.4948275247. The cubic root of 47304 is about 36.1659009609.

The spelling of 47304 in words is "forty-seven thousand, three hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 81 108 146 162 216 219 292 324 438 584 648 657 876 1314 1752 1971 2628 3942 5256 5913 7884 11826 15768 23652 47304

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