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380144 = 24231033
BaseRepresentation
bin1011100110011110000
3201022110102
41130303300
544131034
612051532
73142202
oct1346360
9638412
10380144
1123a676
12163ba8
1310404b
149c772
157797e
hex5ccf0

380144 has 20 divisors (see below), whose sum is σ = 769296. Its totient is φ = 181632.

The previous prime is 380141. The next prime is 380147. The reversal of 380144 is 441083.

380144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (380141) and next prime (380147).

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 149 + ... + 884.

2380144 is an apocalyptic number.

It is an amenable number.

380144 is an abundant number, since it is smaller than the sum of its proper divisors (389152).

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

380144 is a wasteful number, since it uses less digits than its factorization.

380144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 380144 is about 616.5581886570. The cubic root of 380144 is about 72.4407125292.

The spelling of 380144 in words is "three hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 1033 2066 4132 8264 16528 23759 47518 95036 190072 380144