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44269344 = 2532723137
BaseRepresentation
bin1010100011011…
…1111100100000
310002022010010100
42220313330200
542313104334
64220502400
71045166100
oct250677440
9102263110
1044269344
1122a97239
12129aaa00
13922cba2
145c45200
153d46c99
hex2a37f20

44269344 has 108 divisors (see below), whose sum is σ = 146491254. Its totient is φ = 12644352.

The previous prime is 44269327. The next prime is 44269349. The reversal of 44269344 is 44396244.

44269344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 22924944 + 21344400 = 4788^2 + 4620^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 44269299 and 44269308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44269349) 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 17 ways as a sum of consecutive naturals, for example, 12544 + ... + 15680.

Almost surely, 244269344 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 44269344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73245627).

44269344 is an abundant number, since it is smaller than the sum of its proper divisors (102221910).

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

44269344 is a wasteful number, since it uses less digits than its factorization.

44269344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167 (or 3149 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 44269344 is about 6653.5211730331. The cubic root of 44269344 is about 353.7537308517.

The spelling of 44269344 in words is "forty-four million, two hundred sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3137 3528 4704 6274 7056 9411 12548 14112 18822 21959 25096 28233 37644 43918 50192 56466 65877 75288 87836 100384 112932 131754 150576 153713 175672 197631 225864 263508 301152 307426 351344 395262 451728 461139 527016 614852 702688 790524 903456 922278 1054032 1229704 1383417 1581048 1844556 2108064 2459408 2766834 3162096 3689112 4918816 5533668 6324192 7378224 11067336 14756448 22134672 44269344