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381375 = 3353113
BaseRepresentation
bin1011101000110111111
3201101011000
41131012333
544201000
612101343
73145611
oct1350677
9641130
10381375
11240595
12164853
13104787
149cdb1
1578000
hex5d1bf

381375 has 32 divisors (see below), whose sum is σ = 711360. Its totient is φ = 201600.

The previous prime is 381373. The next prime is 381377. The reversal of 381375 is 573183.

It is an interprime number because it is at equal distance from previous prime (381373) and next prime (381377).

It is not a de Polignac number, because 381375 - 21 = 381373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

381375 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381371) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3319 + ... + 3431.

It is an arithmetic number, because the mean of its divisors is an integer number (22230).

2381375 is an apocalyptic number.

381375 is a deficient number, since it is larger than the sum of its proper divisors (329985).

381375 is a wasteful number, since it uses less digits than its factorization.

381375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 381375 is about 617.5556655072. Note that the first 3 decimals coincide. The cubic root of 381375 is about 72.5188219067.

The spelling of 381375 in words is "three hundred eighty-one thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 113 125 135 225 339 375 565 675 1017 1125 1695 2825 3051 3375 5085 8475 14125 15255 25425 42375 76275 127125 381375