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1330434313 = 13757135193
BaseRepresentation
bin100111101001100…
…1101000100001001
310102201110001202221
41033103031010021
510211042344223
6340003454041
744653335145
oct11723150411
93381401687
101330434313
11622aa4a9a
12311687321
13182832850
14c89a4225
157bc02b5d
hex4f4cd109

1330434313 has 8 divisors (see below), whose sum is σ = 1434678728. Its totient is φ = 1226461824.

The previous prime is 1330434289. The next prime is 1330434337. The reversal of 1330434313 is 3134340331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1330434289) and next prime (1330434337).

It can be written as a sum of positive squares in 4 ways, for example, as 209323024 + 1121111289 = 14468^2 + 33483^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1330434313 - 29 = 1330433801 is a prime.

It is a super-2 number, since 2×13304343132 = 3540110922415563938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1330434383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57756 + ... + 77437.

It is an arithmetic number, because the mean of its divisors is an integer number (179334841).

Almost surely, 21330434313 is an apocalyptic number.

1330434313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1330434313 is a deficient number, since it is larger than the sum of its proper divisors (104244415).

1330434313 is a wasteful number, since it uses less digits than its factorization.

1330434313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135963.

The product of its (nonzero) digits is 3888, while the sum is 25.

The square root of 1330434313 is about 36475.1190950763. The cubic root of 1330434313 is about 1099.8441412783.

Adding to 1330434313 its reverse (3134340331), we get a palindrome (4464774644).

The spelling of 1330434313 in words is "one billion, three hundred thirty million, four hundred thirty-four thousand, three hundred thirteen".

Divisors: 1 13 757 9841 135193 1757509 102341101 1330434313