Search a number
-
+
43381400 = 2352316997
BaseRepresentation
bin1010010101111…
…1001010011000
310000122000002112
42211133022120
542101201100
64145451452
71034510246
oct245371230
9100560075
1043381400
11225400a7
1212640b88
138cab98a
145a93796
153c1db35
hex295f298

43381400 has 48 divisors (see below), whose sum is σ = 104130240. Its totient is φ = 16790400.

The previous prime is 43381391. The next prime is 43381411. The reversal of 43381400 is 418334.

43381400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2702 + ... + 9698.

It is an arithmetic number, because the mean of its divisors is an integer number (2169380).

Almost surely, 243381400 is an apocalyptic number.

43381400 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 43381400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52065120).

43381400 is an abundant number, since it is smaller than the sum of its proper divisors (60748840).

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

43381400 is a wasteful number, since it uses less digits than its factorization.

43381400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7044 (or 7035 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 43381400 is about 6586.4557995936. The cubic root of 43381400 is about 351.3725694420.

Adding to 43381400 its reverse (418334), we get a palindrome (43799734).

The spelling of 43381400 in words is "forty-three million, three hundred eighty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 6997 13994 27988 34985 55976 69970 139940 174925 216907 279880 349850 433814 699700 867628 1084535 1399400 1735256 2169070 4338140 5422675 8676280 10845350 21690700 43381400