Search a number
-
+
20393344 = 271071489
BaseRepresentation
bin100110111001…
…0110110000000
31102101002102001
41031302312000
520210041334
62005033344
7335224546
oct115626600
942332361
1020393344
1110569904
1269b5854
1342c048a
1429cbd96
151bcc714
hex1372d80

20393344 has 32 divisors (see below), whose sum is σ = 41034600. Its totient is φ = 10094592.

The previous prime is 20393333. The next prime is 20393363. The reversal of 20393344 is 44339302.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12952 + ... + 14440.

Almost surely, 220393344 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 20393344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20517300).

20393344 is an abundant number, since it is smaller than the sum of its proper divisors (20641256).

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

20393344 is a wasteful number, since it uses less digits than its factorization.

20393344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 20393344 is about 4515.8990245576. The cubic root of 20393344 is about 273.2097213553.

The spelling of 20393344 in words is "twenty million, three hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 107 128 214 428 856 1489 1712 2978 3424 5956 6848 11912 13696 23824 47648 95296 159323 190592 318646 637292 1274584 2549168 5098336 10196672 20393344