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40423320 = 2333575347
BaseRepresentation
bin1001101000110…
…0111110011000
32211001201101000
42122030332120
540322021240
64002225000
71000410150
oct232147630
984051330
1040423320
11208aa703
1211655160
1384b4432
145523760
153837430
hex268cf98

40423320 has 128 divisors (see below), whose sum is σ = 154022400. Its totient is φ = 9237888.

The previous prime is 40423301. The next prime is 40423321. The reversal of 40423320 is 2332404.

40423320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 40423293 and 40423302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40423321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4887 + ... + 10233.

It is an arithmetic number, because the mean of its divisors is an integer number (1203300).

Almost surely, 240423320 is an apocalyptic number.

40423320 is a gapful number since it is divisible by the number (40) 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 40423320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77011200).

40423320 is an abundant number, since it is smaller than the sum of its proper divisors (113599080).

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

40423320 is a wasteful number, since it uses less digits than its factorization.

40423320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5374 (or 5364 counting only the distinct ones).

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

The square root of 40423320 is about 6357.9336265803. The cubic root of 40423320 is about 343.1974032764.

Adding to 40423320 its reverse (2332404), we get a palindrome (42755724).

The spelling of 40423320 in words is "forty million, four hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 5347 7560 10694 16041 21388 26735 32082 37429 42776 48123 53470 64164 74858 80205 96246 106940 112287 128328 144369 149716 160410 187145 192492 213880 224574 240615 288738 299432 320820 336861 374290 384984 449148 481230 561435 577476 641640 673722 721845 748580 898296 962460 1010583 1122870 1154952 1347444 1443690 1497160 1684305 1924920 2021166 2245740 2694888 2887380 3368610 4042332 4491480 5052915 5774760 6737220 8084664 10105830 13474440 20211660 40423320