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43400420 = 22571512053
BaseRepresentation
bin1010010110001…
…1110011100100
310000122222011222
42211203303210
542102303140
64150115512
71034616560
oct245436344
9100588158
1043400420
1122553418
121264bb98
138cb752b
145a9a6a0
153c245b5
hex2963ce4

43400420 has 48 divisors (see below), whose sum is σ = 104901888. Its totient is φ = 14774400.

The previous prime is 43400417. The next prime is 43400429. The reversal of 43400420 is 2400434.

43400420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (43400429) 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 15 ways as a sum of consecutive naturals, for example, 20114 + ... + 22166.

It is an arithmetic number, because the mean of its divisors is an integer number (2185456).

Almost surely, 243400420 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 43400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52450944).

43400420 is an abundant number, since it is smaller than the sum of its proper divisors (61501468).

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

43400420 is a wasteful number, since it uses less digits than its factorization.

43400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 43400420 is about 6587.8995135020. The cubic root of 43400420 is about 351.4239134881.

Adding to 43400420 its reverse (2400434), we get a palindrome (45800854).

The spelling of 43400420 in words is "forty-three million, four hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 151 302 604 755 1057 1510 2053 2114 3020 4106 4228 5285 8212 10265 10570 14371 20530 21140 28742 41060 57484 71855 143710 287420 310003 620006 1240012 1550015 2170021 3100030 4340042 6200060 8680084 10850105 21700210 43400420