Search a number
-
+
381045 = 35719191
BaseRepresentation
bin1011101000001110101
3201100200210
41131001311
544143140
612100033
73144630
oct1350165
9640623
10381045
11240315
12164619
13104592
149cc17
1577d80
hex5d075

381045 has 32 divisors (see below), whose sum is σ = 737280. Its totient is φ = 164160.

The previous prime is 381037. The next prime is 381047. The reversal of 381045 is 540183.

381045 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 381045 - 23 = 381037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

381045 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1900 + ... + 2090.

It is an arithmetic number, because the mean of its divisors is an integer number (23040).

2381045 is an apocalyptic number.

381045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

381045 is a deficient number, since it is larger than the sum of its proper divisors (356235).

381045 is a wasteful number, since it uses less digits than its factorization.

381045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 381045 is about 617.2884252924. The cubic root of 381045 is about 72.4978992653.

381045 divided by its sum of digits (21) gives a triangular number (18145 = T190).

The spelling of 381045 in words is "three hundred eighty-one thousand, forty-five".

Divisors: 1 3 5 7 15 19 21 35 57 95 105 133 191 285 399 573 665 955 1337 1995 2865 3629 4011 6685 10887 18145 20055 25403 54435 76209 127015 381045