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43430420 = 225111131747
BaseRepresentation
bin1010010110101…
…1001000010100
310000201111100002
42211223020110
542104233140
64150510432
71035103205
oct245531024
9100644302
1043430420
1122573a10
1212665418
138cc8097
145aa75ac
153c2d415
hex296b214

43430420 has 48 divisors (see below), whose sum is σ = 100433088. Its totient is φ = 15644160.

The previous prime is 43430381. The next prime is 43430449. The reversal of 43430420 is 2403434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 43430392 and 43430401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23987 + ... + 25733.

It is an arithmetic number, because the mean of its divisors is an integer number (2092356).

Almost surely, 243430420 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 43430420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50216544).

43430420 is an abundant number, since it is smaller than the sum of its proper divisors (57002668).

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

43430420 is a wasteful number, since it uses less digits than its factorization.

43430420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 43430420 is about 6590.1760219284. The cubic root of 43430420 is about 351.5048673065.

Adding to 43430420 its reverse (2403434), we get a palindrome (45833854).

The spelling of 43430420 in words is "forty-three million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 452 565 1130 1243 1747 2260 2486 3494 4972 6215 6988 8735 12430 17470 19217 24860 34940 38434 76868 96085 192170 197411 384340 394822 789644 987055 1974110 2171521 3948220 4343042 8686084 10857605 21715210 43430420