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1334313045 = 325132818117
BaseRepresentation
bin100111110001000…
…0000000001010101
310102222202010101200
41033202000001111
510213041004140
6340222543113
745031321332
oct11742000125
93388663350
101334313045
1162520415a
12312a37a99
13183590160
14c92d3989
157c21c030
hex4f880055

1334313045 has 48 divisors (see below), whose sum is σ = 2499889392. Its totient is φ = 654474240.

The previous prime is 1334313041. The next prime is 1334313049. The reversal of 1334313045 is 5403134331.

1334313045 is a `hidden beast` number, since 13 + 343 + 1 + 304 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1334313041) and next prime (1334313049).

It can be written as a sum of positive squares in 8 ways, for example, as 4835601 + 1329477444 = 2199^2 + 36462^2 .

It is not a de Polignac number, because 1334313045 - 22 = 1334313041 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334313041) 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 47 ways as a sum of consecutive naturals, for example, 160327 + ... + 168443.

It is an arithmetic number, because the mean of its divisors is an integer number (52081029).

Almost surely, 21334313045 is an apocalyptic number.

1334313045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1334313045 is a deficient number, since it is larger than the sum of its proper divisors (1165576347).

1334313045 is a wasteful number, since it uses less digits than its factorization.

1334313045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8422 (or 8419 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 1334313045 is about 36528.2499580804. The cubic root of 1334313045 is about 1100.9119283520.

Adding to 1334313045 its reverse (5403134331), we get a palindrome (6737447376).

The spelling of 1334313045 in words is "one billion, three hundred thirty-four million, three hundred thirteen thousand, forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 281 585 843 1405 2529 3653 4215 8117 10959 12645 18265 24351 32877 40585 54795 73053 105521 121755 164385 316563 365265 527605 949689 1582815 2280877 4748445 6842631 11404385 20527893 29651401 34213155 88954203 102639465 148257005 266862609 444771015 1334313045