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30344 = 233793
BaseRepresentation
bin111011010001000
31112121212
413122020
51432334
6352252
7154316
oct73210
945555
1030344
1120886
1215688
1310a72
14b0b6
158ece
hex7688

30344 has 8 divisors (see below), whose sum is σ = 56910. Its totient is φ = 15168.

The previous prime is 30341. The next prime is 30347. The reversal of 30344 is 44303.

It is an interprime number because it is at equal distance from previous prime (30341) and next prime (30347).

It can be written as a sum of positive squares in only one way, i.e., 28900 + 1444 = 170^2 + 38^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a d-powerful number, because it can be written as 38 + 0 + 39 + 4 + 46 .

It is a plaindrome in base 9 and base 12.

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30344.

It is not an unprimeable number, because it can be changed into a prime (30341) 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 as a sum of consecutive naturals, namely, 1889 + ... + 1904.

230344 is an apocalyptic number.

It is an amenable number.

30344 is a deficient number, since it is larger than the sum of its proper divisors (26566).

30344 is a wasteful number, since it uses less digits than its factorization.

30344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 30344 is about 174.1952927033. The cubic root of 30344 is about 31.1906393133.

Adding to 30344 its reverse (44303), we get a palindrome (74647).

The spelling of 30344 in words is "thirty thousand, three hundred forty-four".

Divisors: 1 2 4 8 3793 7586 15172 30344