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44114320 = 24517163199
BaseRepresentation
bin1010100001001…
…0000110010000
310002000020110201
42220102012100
542243124240
64213304544
71043652115
oct250220620
9102006421
1044114320
11229a0818
1212935154
1391a7463
145c0490c
153d15d9a
hex2a12190

44114320 has 80 divisors (see below), whose sum is σ = 109814400. Its totient is φ = 16422912.

The previous prime is 44114309. The next prime is 44114321. The reversal of 44114320 is 2341144.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (44114321) 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, 221581 + ... + 221779.

It is an arithmetic number, because the mean of its divisors is an integer number (1372680).

Almost surely, 244114320 is an apocalyptic number.

44114320 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 44114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54907200).

44114320 is an abundant number, since it is smaller than the sum of its proper divisors (65700080).

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

44114320 is a wasteful number, since it uses less digits than its factorization.

44114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 44114320 is about 6641.8611849391. The cubic root of 44114320 is about 353.3403186784.

Adding to 44114320 its reverse (2341144), we get a palindrome (46455464).

The spelling of 44114320 in words is "forty-four million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 163 170 199 272 326 340 398 652 680 796 815 995 1304 1360 1592 1630 1990 2608 2771 3184 3260 3383 3980 5542 6520 6766 7960 11084 13040 13532 13855 15920 16915 22168 27064 27710 32437 33830 44336 54128 55420 64874 67660 110840 129748 135320 162185 221680 259496 270640 324370 518992 551429 648740 1102858 1297480 2205716 2594960 2757145 4411432 5514290 8822864 11028580 22057160 44114320