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1327412352 = 27372194779
BaseRepresentation
bin100111100011110…
…1011010010000000
310102111202112102110
41033013223102000
510204304143402
6335415015320
744615550600
oct11707532200
93374675373
101327412352
11621320602
1231066a540
131820151c6
14c8418c00
157b80756c
hex4f1eb480

1327412352 has 384 divisors, whose sum is σ = 4465152000. Its totient is φ = 347203584.

The previous prime is 1327412341. The next prime is 1327412357. The reversal of 1327412352 is 2532147231.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (1327412357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16802649 + ... + 16802727.

It is an arithmetic number, because the mean of its divisors is an integer number (11628000).

Almost surely, 21327412352 is an apocalyptic number.

1327412352 is a gapful number since it is divisible by the number (12) 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 1327412352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232576000).

1327412352 is an abundant number, since it is smaller than the sum of its proper divisors (3137739648).

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

1327412352 is a wasteful number, since it uses less digits than its factorization.

1327412352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 157 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 1327412352 is about 36433.6705809338. The cubic root of 1327412352 is about 1099.0107778839.

Adding to 1327412352 its reverse (2532147231), we get a palindrome (3859559583).

The spelling of 1327412352 in words is "one billion, three hundred twenty-seven million, four hundred twelve thousand, three hundred fifty-two".