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20884344 = 23313219271
BaseRepresentation
bin100111110101…
…0101101111000
31110022000221020
41033222231320
520321244334
62023342440
7342341205
oct117525570
943260836
1020884344
1110874798
126bb1a20
134432b00
142ab8cac
151c77e49
hex13eab78

20884344 has 96 divisors (see below), whose sum is σ = 59731200. Its totient is φ = 6065280.

The previous prime is 20884343. The next prime is 20884373. The reversal of 20884344 is 44348802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20884343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76929 + ... + 77199.

It is an arithmetic number, because the mean of its divisors is an integer number (622200).

Almost surely, 220884344 is an apocalyptic number.

20884344 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 20884344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29865600).

20884344 is an abundant number, since it is smaller than the sum of its proper divisors (38846856).

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

20884344 is a wasteful number, since it uses less digits than its factorization.

20884344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 20884344 is about 4569.9391680853. The cubic root of 20884344 is about 275.3849990432.

The spelling of 20884344 in words is "twenty million, eight hundred eighty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 169 228 247 271 312 338 456 494 507 542 676 741 813 988 1014 1084 1352 1482 1626 1976 2028 2168 2964 3211 3252 3523 4056 5149 5928 6422 6504 7046 9633 10298 10569 12844 14092 15447 19266 20596 21138 25688 28184 30894 38532 41192 42276 45799 61788 66937 77064 84552 91598 123576 133874 137397 183196 200811 267748 274794 366392 401622 535496 549588 803244 870181 1099176 1606488 1740362 2610543 3480724 5221086 6961448 10442172 20884344