10304 has 28 divisors (see below), whose sum is σ = 24384. Its totient is φ = 4224.

The previous prime is 10303. The next prime is 10313. The reversal of 10304 is 40301.

Adding to 10304 its reverse (40301), we get a palindrome (50605).

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 10291 and 10300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 437 + ... + 459.

2^{10304} is an apocalyptic number.

10304 is a gapful number since it is divisible by the number (14) 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 10304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192).

10304 is an abundant number, since it is smaller than the sum of its proper divisors (14080).

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

10304 is an equidigital number, since it uses as much as digits as its factorization.

10304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 10304 is about 101.5086203236. The cubic root of 10304 is about 21.7604873017.

The spelling of 10304 in words is "ten thousand, three hundred four", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2576 5152 10304

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