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44134320 = 2435307599
BaseRepresentation
bin1010100001011…
…0111110110000
310002001020220110
42220112332300
542244244240
64213541320
71044064326
oct250267660
9102036813
1044134320
1122a0484a
1212944840
1391b35a9
145c0bd16
153d1bc80
hex2a16fb0

44134320 has 80 divisors (see below), whose sum is σ = 137491200. Its totient is φ = 11711232.

The previous prime is 44134313. The next prime is 44134331. The reversal of 44134320 is 2343144.

44134320 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 (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 73381 + ... + 73979.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 244134320 is an apocalyptic number.

44134320 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 44134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68745600).

44134320 is an abundant number, since it is smaller than the sum of its proper divisors (93356880).

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

44134320 is a wasteful number, since it uses less digits than its factorization.

44134320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 44134320 is about 6643.3666164077. The cubic root of 44134320 is about 353.3937082859.

Adding to 44134320 its reverse (2343144), we get a palindrome (46477464).

The spelling of 44134320 in words is "forty-four million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 307 599 614 921 1198 1228 1535 1797 1842 2396 2456 2995 3070 3594 3684 4605 4792 4912 5990 6140 7188 7368 8985 9210 9584 11980 12280 14376 14736 17970 18420 23960 24560 28752 35940 36840 47920 71880 73680 143760 183893 367786 551679 735572 919465 1103358 1471144 1838930 2206716 2758395 2942288 3677860 4413432 5516790 7355720 8826864 11033580 14711440 22067160 44134320