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1330340381 is a prime number
BaseRepresentation
bin100111101001011…
…0110001000011101
310102201021021220222
41033102312020131
510211031343011
6340001451125
744652464246
oct11722661035
93381237828
101330340381
11622a40467
12311640aa5
131827cbb76
14c897bccd
157bbd4ddb
hex4f4b621d

1330340381 has 2 divisors, whose sum is σ = 1330340382. Its totient is φ = 1330340380.

The previous prime is 1330340377. The next prime is 1330340413. The reversal of 1330340381 is 1830430331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1320668281 + 9672100 = 36341^2 + 3110^2 .

It is a cyclic number.

It is not a de Polignac number, because 1330340381 - 22 = 1330340377 is a prime.

It is a super-3 number, since 3×13303403813 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1330340381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1330340371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665170190 + 665170191.

It is an arithmetic number, because the mean of its divisors is an integer number (665170191).

Almost surely, 21330340381 is an apocalyptic number.

It is an amenable number.

1330340381 is a deficient number, since it is larger than the sum of its proper divisors (1).

1330340381 is an equidigital number, since it uses as much as digits as its factorization.

1330340381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 1330340381 is about 36473.8314548938. The cubic root of 1330340381 is about 1099.8182567507.

The spelling of 1330340381 in words is "one billion, three hundred thirty million, three hundred forty thousand, three hundred eighty-one".