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1318271328 = 253311294783
BaseRepresentation
bin100111010010011…
…0011100101100000
310101212120010022000
41032210303211200
510144434140303
6334451044000
744445056433
oct11644634540
93355503260
101318271328
11617147840
123095a0600
1318016460a
14c711981a
157aaedda3
hex4e933960

1318271328 has 192 divisors, whose sum is σ = 4340044800. Its totient is φ = 385620480.

The previous prime is 1318271309. The next prime is 1318271347. The reversal of 1318271328 is 8231728131.

It is an interprime number because it is at equal distance from previous prime (1318271309) and next prime (1318271347).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1318271292 and 1318271301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273225 + ... + 278007.

It is an arithmetic number, because the mean of its divisors is an integer number (22604400).

Almost surely, 21318271328 is an apocalyptic number.

1318271328 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 1318271328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170022400).

1318271328 is an abundant number, since it is smaller than the sum of its proper divisors (3021773472).

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

1318271328 is a wasteful number, since it uses less digits than its factorization.

1318271328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4842 (or 4828 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 1318271328 is about 36308.0063897758. The cubic root of 1318271328 is about 1096.4822411185.

Adding to 1318271328 its reverse (8231728131), we get a palindrome (9549999459).

The spelling of 1318271328 in words is "one billion, three hundred eighteen million, two hundred seventy-one thousand, three hundred twenty-eight".