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30208 = 2959

30208 has 20 divisors (see below), whose sum is σ = 61380. Its totient is φ = 14848.

The previous prime is 30203. The next prime is 30211. The reversal of 30208 is 80203.

It is a nialpdrome in base 8 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483 + ... + 541.

It is an arithmetic number, because the mean of its divisors is an integer number (3069).

230208 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 30208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30690).

30208 is an abundant number, since it is smaller than the sum of its proper divisors (31172).

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

30208 is an frugal number, since it uses more digits than its factorization.

30208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 30208 is about 173.8044878592. The cubic root of 30208 is about 31.1439713270.

The spelling of 30208 in words is "thirty thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 512 944 1888 3776 7552 15104 30208