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381114160 = 24573171943
BaseRepresentation
bin10110101101110…
…101011100110000
3222120010121100021
4112231311130300
51240031123120
6101452333224
712305263000
oct2655653460
9876117307
10381114160
11186146789
12a7774214
1360c5b34b
143888a000
15236d2aaa
hex16b75730

381114160 has 320 divisors, whose sum is σ = 1178496000. Its totient is φ = 113799168.

The previous prime is 381114131. The next prime is 381114161. The reversal of 381114160 is 61411183.

It is a happy number.

381114160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (381114161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8863099 + ... + 8863141.

It is an arithmetic number, because the mean of its divisors is an integer number (3682800).

Almost surely, 2381114160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381114160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589248000).

381114160 is an abundant number, since it is smaller than the sum of its proper divisors (797381840).

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

381114160 is a wasteful number, since it uses less digits than its factorization.

381114160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 381114160 is about 19522.1453739081. The cubic root of 381114160 is about 725.0228514399.

It can be divided in two parts, 3811 and 14160, that added together give a palindrome (17971).

The spelling of 381114160 in words is "three hundred eighty-one million, one hundred fourteen thousand, one hundred sixty".