Search a number
-
+
20323044 = 22327241281
BaseRepresentation
bin100110110000…
…1101011100100
31102020111222100
41031201223210
520200314134
62003332100
7334512600
oct115415344
942214870
1020323044
1110521005
126981030
134297491
1429b0500
151bb6999
hex1361ae4

20323044 has 108 divisors (see below), whose sum is σ = 61434828. Its totient is φ = 5644800.

The previous prime is 20323031. The next prime is 20323049. The reversal of 20323044 is 44032302.

It can be written as a sum of positive squares in 2 ways, for example, as 6350400 + 13972644 = 2520^2 + 3738^2 .

It is a super-2 number, since 2×203230442 = 826052234851872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20323049) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72184 + ... + 72464.

It is an arithmetic number, because the mean of its divisors is an integer number (568841).

Almost surely, 220323044 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 20323044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30717414).

20323044 is an abundant number, since it is smaller than the sum of its proper divisors (41111784).

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

20323044 is a wasteful number, since it uses less digits than its factorization.

20323044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 20323044 is about 4508.1086943418. The cubic root of 20323044 is about 272.8954234564.

Adding to 20323044 its reverse (44032302), we get a palindrome (64355346).

The spelling of 20323044 in words is "twenty million, three hundred twenty-three thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 49 63 82 84 98 123 126 147 164 196 246 252 281 287 294 369 441 492 562 574 588 738 843 861 882 1124 1148 1476 1686 1722 1764 1967 2009 2529 2583 3372 3444 3934 4018 5058 5166 5901 6027 7868 8036 10116 10332 11521 11802 12054 13769 17703 18081 23042 23604 24108 27538 34563 35406 36162 41307 46084 55076 69126 70812 72324 80647 82614 103689 123921 138252 161294 165228 207378 241941 247842 322588 414756 483882 495684 564529 725823 967764 1129058 1451646 1693587 2258116 2903292 3387174 5080761 6774348 10161522 20323044