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30448 = 2411173
BaseRepresentation
bin111011011110000
31112202201
413123300
51433243
6352544
7154525
oct73360
945681
1030448
1120970
1215754
1310b22
14b14c
15904d
hex76f0

30448 has 20 divisors (see below), whose sum is σ = 64728. Its totient is φ = 13760.

The previous prime is 30431. The next prime is 30449. The reversal of 30448 is 84403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90 + ... + 262.

230448 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 30448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32364).

30448 is an abundant number, since it is smaller than the sum of its proper divisors (34280).

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

30448 is a wasteful number, since it uses less digits than its factorization.

30448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 30448 is about 174.4935528895. The cubic root of 30448 is about 31.2262325948.

The spelling of 30448 in words is "thirty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 173 176 346 692 1384 1903 2768 3806 7612 15224 30448