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43314144 = 253538513
BaseRepresentation
bin1010010100111…
…0101111100000
310000111120211120
42211032233200
542042023034
64144212240
71034110206
oct245165740
9100446746
1043314144
11224a4615
121260a080
138c87193
145a77076
153c08c49
hex294ebe0

43314144 has 48 divisors (see below), whose sum is σ = 115858512. Its totient is φ = 14163968.

The previous prime is 43314137. The next prime is 43314149. The reversal of 43314144 is 44141334.

43314144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×433141442 = 3752230140905472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43314149) 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 7 ways as a sum of consecutive naturals, for example, 832 + ... + 9344.

It is an arithmetic number, because the mean of its divisors is an integer number (2413719).

Almost surely, 243314144 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 43314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57929256).

43314144 is an abundant number, since it is smaller than the sum of its proper divisors (72544368).

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

43314144 is a wasteful number, since it uses less digits than its factorization.

43314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8579 (or 8571 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 43314144 is about 6581.3481901507. The cubic root of 43314144 is about 351.1908929895.

Adding to 43314144 its reverse (44141334), we get a palindrome (87455478).

The spelling of 43314144 in words is "forty-three million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 8513 17026 25539 34052 51078 68104 102156 136208 204312 272416 408624 451189 817248 902378 1353567 1804756 2707134 3609512 5414268 7219024 10828536 14438048 21657072 43314144