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20344320 = 29325883
BaseRepresentation
bin100110110011…
…0111000000000
31102021121011100
41031212320000
520202004240
62004014400
7334631613
oct115467000
942247140
1020344320
1110535a97
126991400
1342a4079
1429b817a
151bbce30
hex1366e00

20344320 has 120 divisors (see below), whose sum is σ = 70537896. Its totient is φ = 5419008.

The previous prime is 20344319. The next prime is 20344327. The reversal of 20344320 is 2344302.

20344320 is a `hidden beast` number, since 2 + 0 + 344 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 20344293 and 20344302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20344327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22599 + ... + 23481.

Almost surely, 220344320 is an apocalyptic number.

20344320 is a gapful number since it is divisible by the number (20) 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 20344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35268948).

20344320 is an abundant number, since it is smaller than the sum of its proper divisors (50193576).

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

20344320 is an equidigital number, since it uses as much as digits as its factorization.

20344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 893 counting only the distinct ones).

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

The square root of 20344320 is about 4510.4678249601. The cubic root of 20344320 is about 272.9906207783.

Subtracting from 20344320 its sum of digits (18), we obtain a palindrome (20344302).

Adding to 20344320 its reverse (2344302), we get a palindrome (22688622).

The spelling of 20344320 in words is "twenty million, three hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 883 960 1152 1280 1440 1536 1766 1920 2304 2560 2649 2880 3532 3840 4415 4608 5298 5760 7064 7680 7947 8830 10596 11520 13245 14128 15894 17660 21192 23040 26490 28256 31788 35320 39735 42384 52980 56512 63576 70640 79470 84768 105960 113024 127152 141280 158940 169536 211920 226048 254304 282560 317880 339072 423840 452096 508608 565120 635760 678144 847680 1017216 1130240 1271520 1356288 1695360 2034432 2260480 2543040 3390720 4068864 5086080 6781440 10172160 20344320