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1319360329 = 7251892
BaseRepresentation
bin100111010100011…
…1101011101001001
310101221121110010101
41032220331131021
510200224012304
6334530245401
744460243400
oct11650753511
93357543111
101319360329
11617820a41
12309a26861
131804561b1
14c7320637
157ac668a4
hex4ea3d749

1319360329 has 9 divisors (see below), whose sum is σ = 1535061927. Its totient is φ = 1130662344.

The previous prime is 1319360311. The next prime is 1319360347. The reversal of 1319360329 is 9230639131.

The square root of 1319360329 is 36323.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1319360311) and next prime (1319360347).

It can be written as a sum of positive squares in only one way, i.e., 1041804729 + 277555600 = 32277^2 + 16660^2 .

It is not a de Polignac number, because 1319360329 - 213 = 1319352137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1319360309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 251667 + ... + 256855.

Almost surely, 21319360329 is an apocalyptic number.

1319360329 is the 36323-rd square number.

1319360329 is the 18162-nd centered octagonal number.

It is an amenable number.

1319360329 is a deficient number, since it is larger than the sum of its proper divisors (215701598).

1319360329 is an frugal number, since it uses more digits than its factorization.

1319360329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10392 (or 5196 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 37.

The cubic root of 1319360329 is about 1096.7840863159.

Multiplying 1319360329 by its product of nonzero digits (26244), we get a square (34625292474276 = 58843262).

The spelling of 1319360329 in words is "one billion, three hundred nineteen million, three hundred sixty thousand, three hundred twenty-nine".

Divisors: 1 7 49 5189 36323 254261 26925721 188480047 1319360329