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19304 = 2319127
BaseRepresentation
bin100101101101000
3222110222
410231220
51104204
6225212
7110165
oct45550
928428
1019304
111355a
12b208
138a2c
14706c
155abe
hex4b68

19304 has 16 divisors (see below), whose sum is σ = 38400. Its totient is φ = 9072.

The previous prime is 19301. The next prime is 19309. The reversal of 19304 is 40391.

Adding to 19304 its sum of digits (17), we get a square (19321 = 1392).

Adding to 19304 its reverse (40391), we get a palindrome (59695).

It can be divided in two parts, 19 and 304, that multiplied together give a square (5776 = 762).

It is a plaindrome in base 11 and base 15.

It is not an unprimeable number, because it can be changed into a prime (19301) 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 3 ways as a sum of consecutive naturals, for example, 89 + ... + 215.

It is an arithmetic number, because the mean of its divisors is an integer number (2400).

219304 is an apocalyptic number.

It is an amenable number.

19304 is a deficient number, since it is larger than the sum of its proper divisors (19096).

19304 is a wasteful number, since it uses less digits than its factorization.

19304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 19304 is about 138.9388354637. The cubic root of 19304 is about 26.8255789054.

The spelling of 19304 in words is "nineteen thousand, three hundred four".

Divisors: 1 2 4 8 19 38 76 127 152 254 508 1016 2413 4826 9652 19304