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378927360 = 28325737127
BaseRepresentation
bin10110100101011…
…111100100000000
3222102000111121200
4112211133210000
51234001133420
6101333421200
712250554330
oct2645374400
9872014550
10378927360
11184992809
12a6a9a800
1360673b96
143847b0c0
15233eeb90
hex1695f900

378927360 has 432 divisors, whose sum is σ = 1550954496. Its totient is φ = 83607552.

The previous prime is 378927349. The next prime is 378927377. The reversal of 378927360 is 63729873.

It is a happy number.

378927360 is a `hidden beast` number, since 378 + 9 + 273 + 6 + 0 = 666.

378927360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 2983617 + ... + 2983743.

Almost surely, 2378927360 is an apocalyptic number.

378927360 is a gapful number since it is divisible by the number (30) 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 378927360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775477248).

378927360 is an abundant number, since it is smaller than the sum of its proper divisors (1172027136).

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

378927360 is a wasteful number, since it uses less digits than its factorization.

378927360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 378927360 is about 19466.0566114455. The cubic root of 378927360 is about 723.6334846036.

The spelling of 378927360 in words is "three hundred seventy-eight million, nine hundred twenty-seven thousand, three hundred sixty".