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1320080328 = 233471721953
BaseRepresentation
bin100111010101110…
…1101001111001000
310101222222000210000
41032223231033020
510200420032303
6334553523000
744466332460
oct11653551710
93358860700
101320080328
11618172986
1230a113460
13180648b28
14c746aba0
157ad59da3
hex4eaed3c8

1320080328 has 480 divisors, whose sum is σ = 4814251200. Its totient is φ = 329951232.

The previous prime is 1320080323. The next prime is 1320080329. The reversal of 1320080328 is 8230800231.

It is a super-2 number, since 2×13200803282 = 3485224144745175168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1320080323) 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 119 ways as a sum of consecutive naturals, for example, 24907150 + ... + 24907202.

It is an arithmetic number, because the mean of its divisors is an integer number (10029690).

Almost surely, 21320080328 is an apocalyptic number.

1320080328 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 1320080328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407125600).

1320080328 is an abundant number, since it is smaller than the sum of its proper divisors (3494170872).

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

1320080328 is a wasteful number, since it uses less digits than its factorization.

1320080328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1320080328 is about 36332.9097100686. The cubic root of 1320080328 is about 1096.9835617291.

Adding to 1320080328 its reverse (8230800231), we get a palindrome (9550880559).

It can be divided in two parts, 13200 and 80328, that added together give a triangular number (93528 = T432).

The spelling of 1320080328 in words is "one billion, three hundred twenty million, eighty thousand, three hundred twenty-eight".