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44334420 = 223513113503
BaseRepresentation
bin1010100100011…
…1110101010100
310002102102101120
42221013311110
542322200140
64222123540
71045556604
oct251076524
9102372346
1044334420
1123031119
1212a205b0
1392536b0
145c60c04
153d5b1d0
hex2a47d54

44334420 has 96 divisors (see below), whose sum is σ = 135136512. Its totient is φ = 10795008.

The previous prime is 44334401. The next prime is 44334421. The reversal of 44334420 is 2443344.

It is a happy number.

44334420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×443344203 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44334421) 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 31 ways as a sum of consecutive naturals, for example, 87889 + ... + 88391.

It is an arithmetic number, because the mean of its divisors is an integer number (1407672).

Almost surely, 244334420 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 44334420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67568256).

44334420 is an abundant number, since it is smaller than the sum of its proper divisors (90802092).

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

44334420 is a wasteful number, since it uses less digits than its factorization.

44334420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 44334420 is about 6658.4097200458. The cubic root of 44334420 is about 353.9269854840.

Adding to 44334420 its reverse (2443344), we get a palindrome (46777764).

The spelling of 44334420 in words is "forty-four million, three hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 113 130 156 195 226 260 339 390 452 503 565 678 780 1006 1130 1356 1469 1509 1695 2012 2260 2515 2938 3018 3390 4407 5030 5876 6036 6539 6780 7345 7545 8814 10060 13078 14690 15090 17628 19617 22035 26156 29380 30180 32695 39234 44070 56839 65390 78468 88140 98085 113678 130780 170517 196170 227356 284195 341034 392340 568390 682068 738907 852585 1136780 1477814 1705170 2216721 2955628 3410340 3694535 4433442 7389070 8866884 11083605 14778140 22167210 44334420