Search a number
-
+
20322384 = 243835101
BaseRepresentation
bin100110110000…
…1100001010000
31102020111001220
41031201201100
520200304014
62003325040
7334510635
oct115414120
942214056
1020322384
1110520565
126980780
1342970a4
1429b018c
151bb66a9
hex1361850

20322384 has 40 divisors (see below), whose sum is σ = 53142432. Its totient is φ = 6691200.

The previous prime is 20322383. The next prime is 20322427. The reversal of 20322384 is 48322302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20322383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1434 + ... + 6534.

Almost surely, 220322384 is an apocalyptic number.

20322384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20322384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26571216).

20322384 is an abundant number, since it is smaller than the sum of its proper divisors (32820048).

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

20322384 is a wasteful number, since it uses less digits than its factorization.

20322384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 20322384 is about 4508.0354923181. The cubic root of 20322384 is about 272.8924692906.

Adding to 20322384 its reverse (48322302), we get a palindrome (68644686).

It can be divided in two parts, 20322 and 384, that added together give a triangular number (20706 = T203).

The spelling of 20322384 in words is "twenty million, three hundred twenty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3984 5101 10202 15303 20404 30606 40808 61212 81616 122424 244848 423383 846766 1270149 1693532 2540298 3387064 5080596 6774128 10161192 20322384