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1043442304 = 2719487881
BaseRepresentation
bin111110001100011…
…010101010000000
32200201102100202021
4332030122222000
54114110123204
6251312331224
734600053562
oct7614325200
92621370667
101043442304
11495aa5713
12251543b14
1313823a7a8
149c819332
1561913154
hex3e31aa80

1043442304 has 64 divisors (see below), whose sum is σ = 2195121600. Its totient is φ = 492687360.

The previous prime is 1043442293. The next prime is 1043442307. The reversal of 1043442304 is 4032443401.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1043442307) 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 7 ways as a sum of consecutive naturals, for example, 1183944 + ... + 1184824.

It is an arithmetic number, because the mean of its divisors is an integer number (34298775).

Almost surely, 21043442304 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 1043442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097560800).

1043442304 is an abundant number, since it is smaller than the sum of its proper divisors (1151679296).

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

1043442304 is an equidigital number, since it uses as much as digits as its factorization.

1043442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 1043442304 is about 32302.3575610202. The cubic root of 1043442304 is about 1014.2759941559.

Adding to 1043442304 its reverse (4032443401), we get a palindrome (5075885705).

The spelling of 1043442304 in words is "one billion, forty-three million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 487 608 881 974 1216 1762 1948 2432 3524 3896 7048 7792 9253 14096 15584 16739 18506 28192 31168 33478 37012 56384 62336 66956 74024 112768 133912 148048 267824 296096 429047 535648 592192 858094 1071296 1184384 1716188 2142592 3432376 6864752 8151893 13729504 16303786 27459008 32607572 54918016 65215144 130430288 260860576 521721152 1043442304