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43040000 = 2854269
BaseRepresentation
bin1010010000101…
…1110100000000
32222222122210002
42210023310000
542004240000
64134255132
71031556023
oct244136400
988878702
1043040000
1122327653
12124b74a8
138bbc473
145a051ba
153ba28d5
hex290bd00

43040000 has 90 divisors (see below), whose sum is σ = 107754570. Its totient is φ = 17152000.

The previous prime is 43039979. The next prime is 43040003. The reversal of 43040000 is 4034.

It can be written as a sum of positive squares in 5 ways, for example, as 28047616 + 14992384 = 5296^2 + 3872^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43040003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159866 + ... + 160134.

It is an arithmetic number, because the mean of its divisors is an integer number (1197273).

Almost surely, 243040000 is an apocalyptic number.

43040000 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 43040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53877285).

43040000 is an abundant number, since it is smaller than the sum of its proper divisors (64714570).

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

43040000 is an frugal number, since it uses more digits than its factorization.

43040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 43040000 is about 6560.4877867427. The cubic root of 43040000 is about 350.4484048696.

Adding to 43040000 its reverse (4034), we get a palindrome (43044034).

The spelling of 43040000 in words is "forty-three million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 269 320 400 500 538 625 640 800 1000 1076 1250 1280 1345 1600 2000 2152 2500 2690 3200 4000 4304 5000 5380 6400 6725 8000 8608 10000 10760 13450 16000 17216 20000 21520 26900 32000 33625 34432 40000 43040 53800 67250 68864 80000 86080 107600 134500 160000 168125 172160 215200 269000 336250 344320 430400 538000 672500 860800 1076000 1345000 1721600 2152000 2690000 4304000 5380000 8608000 10760000 21520000 43040000