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381093132 = 223719123753
BaseRepresentation
bin10110101101110…
…000010100001100
3222120002112111110
4112231300110030
51240024440012
6101452052020
712305144460
oct2655602414
9876075443
10381093132
11186131a02
12a7764010
1360c518c4
14388824a0
15236cb73c
hex16b7050c

381093132 has 48 divisors (see below), whose sum is σ = 1021612032. Its totient is φ = 108309120.

The previous prime is 381093121. The next prime is 381093149. The reversal of 381093132 is 231390183.

It is a self number, because there is not a number n which added to its sum of digits gives 381093132.

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 15 ways as a sum of consecutive naturals, for example, 4168 + ... + 27920.

It is an arithmetic number, because the mean of its divisors is an integer number (21283584).

Almost surely, 2381093132 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 381093132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510806016).

381093132 is an abundant number, since it is smaller than the sum of its proper divisors (640518900).

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

381093132 is a wasteful number, since it uses less digits than its factorization.

381093132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23958 (or 23956 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 381093132 is about 19521.6067986219. The cubic root of 381093132 is about 725.0095167994.

The spelling of 381093132 in words is "three hundred eighty-one million, ninety-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 191 382 573 764 1146 1337 2292 2674 4011 5348 8022 16044 23753 47506 71259 95012 142518 166271 285036 332542 498813 665084 997626 1995252 4536823 9073646 13610469 18147292 27220938 31757761 54441876 63515522 95273283 127031044 190546566 381093132