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1005353444 = 22614120301
BaseRepresentation
bin111011111011000…
…111100111100100
32121001202020122202
4323323013213210
54024332302234
6243432114032
733625235414
oct7373074744
92531666582
101005353444
1147654aa17
12240835918
13130392ac4
1497742644
155d3dc77e
hex3bec79e4

1005353444 has 12 divisors (see below), whose sum is σ = 1788211068. Its totient is φ = 494436000.

The previous prime is 1005353369. The next prime is 1005353491. The reversal of 1005353444 is 4443535001.

It can be written as a sum of positive squares in 2 ways, for example, as 531855844 + 473497600 = 23062^2 + 21760^2 .

It is a super-2 number, since 2×10053534442 = 2021471094725322272, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2059907 + ... + 2060394.

It is an arithmetic number, because the mean of its divisors is an integer number (149017589).

Almost surely, 21005353444 is an apocalyptic number.

It is an amenable number.

1005353444 is a deficient number, since it is larger than the sum of its proper divisors (782857624).

1005353444 is a wasteful number, since it uses less digits than its factorization.

1005353444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120366 (or 4120364 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 1005353444 is about 31707.3089996613. The cubic root of 1005353444 is about 1001.7813063968.

Adding to 1005353444 its reverse (4443535001), we get a palindrome (5448888445).

The spelling of 1005353444 in words is "one billion, five million, three hundred fifty-three thousand, four hundred forty-four".

Divisors: 1 2 4 61 122 244 4120301 8240602 16481204 251338361 502676722 1005353444