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1004314441 = 1325942689
BaseRepresentation
bin111011110111001…
…001111101001001
32120222210110102011
4323313021331021
54024101030231
6243353535521
733613350304
oct7367117511
92528713364
101004314441
11475a00339
122404145a1
131300bac00
1497551b3b
155d2849b1
hex3bdc9f49

1004314441 has 6 divisors (see below), whose sum is σ = 1087512270. Its totient is φ = 927059328.

The previous prime is 1004314417. The next prime is 1004314469. The reversal of 1004314441 is 1444134001.

It can be written as a sum of positive squares in 3 ways, for example, as 55428025 + 948886416 = 7445^2 + 30804^2 .

It is not a de Polignac number, because 1004314441 - 227 = 870096713 is a prime.

It is a super-2 number, since 2×10043144412 = 2017294992802284962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1004314411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2971176 + ... + 2971513.

It is an arithmetic number, because the mean of its divisors is an integer number (181252045).

Almost surely, 21004314441 is an apocalyptic number.

It is an amenable number.

1004314441 is a deficient number, since it is larger than the sum of its proper divisors (83197829).

1004314441 is an equidigital number, since it uses as much as digits as its factorization.

1004314441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942715 (or 5942702 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1004314441 is about 31690.9204820561. The cubic root of 1004314441 is about 1001.4360836764.

Adding to 1004314441 its reverse (1444134001), we get a palindrome (2448448442).

The spelling of 1004314441 in words is "one billion, four million, three hundred fourteen thousand, four hundred forty-one".

Divisors: 1 13 169 5942689 77254957 1004314441