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381060 = 223252973
BaseRepresentation
bin1011101000010000100
3201100201100
41131002010
544143220
612100100
73144651
oct1350204
9640640
10381060
11240329
12164630
131045a4
149cc28
1577d90
hex5d084

381060 has 72 divisors (see below), whose sum is σ = 1212120. Its totient is φ = 96768.

The previous prime is 381047. The next prime is 381061. The reversal of 381060 is 60183.

It can be written as a sum of positive squares in 4 ways, for example, as 49284 + 331776 = 222^2 + 576^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (381061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5184 + ... + 5256.

It is an arithmetic number, because the mean of its divisors is an integer number (16835).

2381060 is an apocalyptic number.

381060 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 381060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606060).

381060 is an abundant number, since it is smaller than the sum of its proper divisors (831060).

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

381060 is a wasteful number, since it uses less digits than its factorization.

381060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 381060 is about 617.3005750848. The cubic root of 381060 is about 72.4988505565.

The spelling of 381060 in words is "three hundred eighty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 73 87 90 116 145 146 174 180 219 261 290 292 348 365 435 438 522 580 657 730 870 876 1044 1095 1305 1314 1460 1740 2117 2190 2610 2628 3285 4234 4380 5220 6351 6570 8468 10585 12702 13140 19053 21170 25404 31755 38106 42340 63510 76212 95265 127020 190530 381060