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44314344 = 23331931063
BaseRepresentation
bin1010100100001…
…0111011101000
310002101101212000
42221002323220
542321024334
64221451000
71045444224
oct251027350
9102341760
1044314344
1123018028
1212a10a60
139247509
145c57784
153d55299
hex2a42ee8

44314344 has 64 divisors (see below), whose sum is σ = 123849600. Its totient is φ = 14681088.

The previous prime is 44314343. The next prime is 44314351. The reversal of 44314344 is 44341344.

44314344 is a `hidden beast` number, since 4 + 4 + 314 + 344 = 666.

It is a super-2 number, since 2×443143442 = 3927522168300672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (44314343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41157 + ... + 42219.

It is an arithmetic number, because the mean of its divisors is an integer number (1935150).

Almost surely, 244314344 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 44314344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61924800).

44314344 is an abundant number, since it is smaller than the sum of its proper divisors (79535256).

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

44314344 is a wasteful number, since it uses less digits than its factorization.

44314344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1261 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 44314344 is about 6656.9019821536. The cubic root of 44314344 is about 353.8735543805.

Adding to 44314344 its reverse (44341344), we get a palindrome (88655688).

Subtracting 44314344 from its reverse (44341344), we obtain a cube (27000 = 303).

The spelling of 44314344 in words is "forty-four million, three hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 193 216 386 579 772 1063 1158 1544 1737 2126 2316 3189 3474 4252 4632 5211 6378 6948 8504 9567 10422 12756 13896 19134 20844 25512 28701 38268 41688 57402 76536 114804 205159 229608 410318 615477 820636 1230954 1641272 1846431 2461908 3692862 4923816 5539293 7385724 11078586 14771448 22157172 44314344