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381924 = 22321032
BaseRepresentation
bin1011101001111100100
3201101220100
41131033210
544210144
612104100
73150324
oct1351744
9641810
10381924
11240a44
12165030
13104aba
149d284
1578269
hex5d3e4

381924 has 27 divisors (see below), whose sum is σ = 974883. Its totient is φ = 126072.

The previous prime is 381917. The next prime is 381937. The reversal of 381924 is 429183.

The square root of 381924 is 618.

It is a perfect power (a square), and thus also a powerful number.

Its product of digits (1728) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

381924 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3657 + ... + 3759.

381924 is a Friedman number, since it can be written as (318-9)^2*4, using all its digits and the basic arithmetic operations.

2381924 is an apocalyptic number.

381924 is the 618-th square number.

It is an amenable number.

381924 is an abundant number, since it is smaller than the sum of its proper divisors (592959).

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

381924 is a wasteful number, since it uses less digits than its factorization.

381924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 108 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The cubic root of 381924 is about 72.5536028481.

The spelling of 381924 in words is "three hundred eighty-one thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 618 927 1236 1854 3708 10609 21218 31827 42436 63654 95481 127308 190962 381924