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1328635319 = 112329181087
BaseRepresentation
bin100111100110001…
…0101110110110111
310102121001200000112
41033030111312313
510210112312234
6335501133235
744632133234
oct11714256667
93377050015
101328635319
11621a86420
12310b5a21b
13182352a5b
14c865678b
157b999ace
hex4f315db7

1328635319 has 16 divisors (see below), whose sum is σ = 1564600320. Its totient is φ = 1115489760.

The previous prime is 1328635309. The next prime is 1328635333. The reversal of 1328635319 is 9135368231.

It is a happy number.

It is not a de Polignac number, because 1328635319 - 216 = 1328569783 is a prime.

It is a super-2 number, since 2×13286353192 = 3530543621788463522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328635309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83207 + ... + 97880.

It is an arithmetic number, because the mean of its divisors is an integer number (97787520).

Almost surely, 21328635319 is an apocalyptic number.

1328635319 is a deficient number, since it is larger than the sum of its proper divisors (235965001).

1328635319 is a wasteful number, since it uses less digits than its factorization.

1328635319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181150.

The product of its digits is 116640, while the sum is 41.

The square root of 1328635319 is about 36450.4501892638. The cubic root of 1328635319 is about 1099.3481865665.

The spelling of 1328635319 in words is "one billion, three hundred twenty-eight million, six hundred thirty-five thousand, three hundred nineteen".

Divisors: 1 11 23 29 253 319 667 7337 181087 1991957 4165001 5251523 45815011 57766753 120785029 1328635319