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381332160 = 263251112037
BaseRepresentation
bin10110101110101…
…010101011000000
3222120112200101100
4112232222223000
51240110112120
6101501134400
712310161366
oct2656525300
9876480340
10381332160
11186285550
12a785a400
1361006641
1438905636
1523727490
hex16baaac0

381332160 has 168 divisors, whose sum is σ = 1430981136. Its totient is φ = 92436480.

The previous prime is 381332099. The next prime is 381332177. The reversal of 381332160 is 61233183.

It is a happy number.

381332160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25662 + ... + 37698.

Almost surely, 2381332160 is an apocalyptic number.

381332160 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 381332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715490568).

381332160 is an abundant number, since it is smaller than the sum of its proper divisors (1049648976).

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

381332160 is a wasteful number, since it uses less digits than its factorization.

381332160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12071 (or 12058 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 381332160 is about 19527.7279784413. The cubic root of 381332160 is about 725.1610644930.

The spelling of 381332160 in words is "three hundred eighty-one million, three hundred thirty-two thousand, one hundred sixty".