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1320412329 = 321125713033
BaseRepresentation
bin100111010110011…
…1110010010101001
310102000120220012100
41032230332102221
510201011143304
6335005004013
744502214425
oct11654762251
93360526170
101320412329
1161837a365
1230a253609
13180733c92
14c7515b85
157adc3439
hex4eb3e4a9

1320412329 has 12 divisors (see below), whose sum is σ = 1907578036. Its totient is φ = 880129152.

The previous prime is 1320412319. The next prime is 1320412333. The reversal of 1320412329 is 9232140231.

It is a happy number.

1320412329 is a `hidden beast` number, since 1 + 320 + 4 + 12 + 329 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 983763225 + 336649104 = 31365^2 + 18348^2 .

It is not a de Polignac number, because 1320412329 - 216 = 1320346793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1320412319) 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 11 ways as a sum of consecutive naturals, for example, 94797 + ... + 107829.

Almost surely, 21320412329 is an apocalyptic number.

It is an amenable number.

1320412329 is a deficient number, since it is larger than the sum of its proper divisors (587165707).

1320412329 is a wasteful number, since it uses less digits than its factorization.

1320412329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24296 (or 24293 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1320412329 is about 36337.4782972071. The cubic root of 1320412329 is about 1097.0755180301.

The spelling of 1320412329 in words is "one billion, three hundred twenty million, four hundred twelve thousand, three hundred twenty-nine".

Divisors: 1 3 9 11257 13033 33771 39099 101313 117297 146712481 440137443 1320412329