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1371327408 = 2434112931107
BaseRepresentation
bin101000110111100…
…1100101110110000
310112120101122120000
41101233030232300
510302024434113
6344024150000
745661043043
oct12157145660
93476348500
101371327408
11644095640
12323308300
1318b14ca49
14d01aac5a
15805ce373
hex51bccbb0

1371327408 has 400 divisors, whose sum is σ = 4666844160. Its totient is φ = 384652800.

The previous prime is 1371327407. The next prime is 1371327409. The reversal of 1371327408 is 8047231731.

It is an interprime number because it is at equal distance from previous prime (1371327407) and next prime (1371327409).

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

It is not an unprimeable number, because it can be changed into a prime (1371327401) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12816091 + ... + 12816197.

Almost surely, 21371327408 is an apocalyptic number.

1371327408 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 1371327408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333422080).

1371327408 is an abundant number, since it is smaller than the sum of its proper divisors (3295516752).

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

1371327408 is a wasteful number, since it uses less digits than its factorization.

1371327408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1371327408 is about 37031.4381033197. The cubic root of 1371327408 is about 1110.9991296153. Note that the first 3 decimals are identical.

The spelling of 1371327408 in words is "one billion, three hundred seventy-one million, three hundred twenty-seven thousand, four hundred eight".