Search a number
-
+
20000344 = 2371383331
BaseRepresentation
bin100110001001…
…0111001011000
31101122010022111
41030102321120
520110002334
61552402104
7332000020
oct114227130
941563274
1020000344
1110320611
126846334
1341b3630
142928a80
151b51064
hex1312e58

20000344 has 64 divisors (see below), whose sum is σ = 46851840. Its totient is φ = 7793280.

The previous prime is 20000339. The next prime is 20000353. The reversal of 20000344 is 44300002.

It is a Harshad number since it is a multiple of its sum of digits (13).

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 15 ways as a sum of consecutive naturals, for example, 60259 + ... + 60589.

It is an arithmetic number, because the mean of its divisors is an integer number (732060).

Almost surely, 220000344 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 20000344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23425920).

20000344 is an abundant number, since it is smaller than the sum of its proper divisors (26851496).

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

20000344 is a wasteful number, since it uses less digits than its factorization.

20000344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 20000344 is about 4472.1744152034. The cubic root of 20000344 is about 271.4433179167.

Adding to 20000344 its reverse (44300002), we get a palindrome (64300346).

The spelling of 20000344 in words is "twenty million, three hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 13 14 26 28 52 56 83 91 104 166 182 331 332 364 581 662 664 728 1079 1162 1324 2158 2317 2324 2648 4303 4316 4634 4648 7553 8606 8632 9268 15106 17212 18536 27473 30121 30212 34424 54946 60242 60424 109892 120484 192311 219784 240968 357149 384622 714298 769244 1428596 1538488 2500043 2857192 5000086 10000172 20000344