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1326947328 = 21032767307
BaseRepresentation
bin100111100010111…
…1001110000000000
310102110212220112100
41033011321300000
510204144303303
6335401030400
744611603050
oct11705716000
93373786470
101326947328
11621033193
12310485400
13181bb1645
14c8337560
157b7648a3
hex4f179c00

1326947328 has 264 divisors, whose sum is σ = 4458726272. Its totient is φ = 372252672.

The previous prime is 1326947309. The next prime is 1326947333. The reversal of 1326947328 is 8237496231.

It is a super-2 number, since 2×13269473282 = 3521578422572679168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4322151 + ... + 4322457.

Almost surely, 21326947328 is an apocalyptic number.

1326947328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1326947328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229363136).

1326947328 is an abundant number, since it is smaller than the sum of its proper divisors (3131778944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1326947328 is a wasteful number, since it uses less digits than its factorization.

1326947328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 386 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 1326947328 is about 36427.2882328619. The cubic root of 1326947328 is about 1098.8824263891.

The spelling of 1326947328 in words is "one billion, three hundred twenty-six million, nine hundred forty-seven thousand, three hundred twenty-eight".