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444909344 = 25111263947
BaseRepresentation
bin11010100001001…
…100011100100000
31011000011201212212
4122201030130200
51402344044334
6112051541252
714011444535
oct3241143440
91130151785
10444909344
11209159a80
12104bba828
1371236889
1443134d8c
15290d4ece
hex1a84c720

444909344 has 24 divisors (see below), whose sum is σ = 955544688. Its totient is φ = 202231360.

The previous prime is 444909341. The next prime is 444909371. The reversal of 444909344 is 443909444.

It is not an unprimeable number, because it can be changed into a prime (444909341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 631622 + ... + 632325.

It is an arithmetic number, because the mean of its divisors is an integer number (39814362).

Almost surely, 2444909344 is an apocalyptic number.

444909344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444909344 is an abundant number, since it is smaller than the sum of its proper divisors (510635344).

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

444909344 is a wasteful number, since it uses less digits than its factorization.

444909344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263968 (or 1263960 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The square root of 444909344 is about 21092.8742470058. The cubic root of 444909344 is about 763.4088242157.

It can be divided in two parts, 444 and 909344, that multiplied together give a triangular number (403748736 = T28416).

The spelling of 444909344 in words is "four hundred forty-four million, nine hundred nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 1263947 2527894 5055788 10111576 13903417 20223152 27806834 40446304 55613668 111227336 222454672 444909344