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44340384 = 25311199211
BaseRepresentation
bin1010100100100…
…1010010100000
310002102201120110
42221021102200
542322343014
64222211320
71045613154
oct251112240
9102381513
1044340384
1123035650
1212a23b40
13925631a
145c63064
153d5cd59
hex2a494a0

44340384 has 96 divisors (see below), whose sum is σ = 128217600. Its totient is φ = 13305600.

The previous prime is 44340379. The next prime is 44340407. The reversal of 44340384 is 48304344.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210039 + ... + 210249.

It is an arithmetic number, because the mean of its divisors is an integer number (1335600).

Almost surely, 244340384 is an apocalyptic number.

44340384 is a gapful number since it is divisible by the number (44) 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 44340384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64108800).

44340384 is an abundant number, since it is smaller than the sum of its proper divisors (83877216).

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

44340384 is a wasteful number, since it uses less digits than its factorization.

44340384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 44340384 is about 6658.8575596719. The cubic root of 44340384 is about 353.9428552145.

The spelling of 44340384 in words is "forty-four million, three hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 199 211 264 352 398 422 528 597 633 796 844 1056 1194 1266 1592 1688 2189 2321 2388 2532 3184 3376 4378 4642 4776 5064 6368 6567 6752 6963 8756 9284 9552 10128 13134 13926 17512 18568 19104 20256 26268 27852 35024 37136 41989 52536 55704 70048 74272 83978 105072 111408 125967 167956 210144 222816 251934 335912 461879 503868 671824 923758 1007736 1343648 1385637 1847516 2015472 2771274 3695032 4030944 5542548 7390064 11085096 14780128 22170192 44340384