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387045 = 3354761
BaseRepresentation
bin1011110011111100101
3201122221000
41132133211
544341140
612143513
73201261
oct1363745
9648830
10387045
1124487a
12167b99
13107229
14a10a1
1579a30
hex5e7e5

387045 has 32 divisors (see below), whose sum is σ = 714240. Its totient is φ = 198720.

The previous prime is 387031. The next prime is 387047. The reversal of 387045 is 540783.

387045 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 387045 - 214 = 370661 is a prime.

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

387045 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 387045.

It is not an unprimeable number, because it can be changed into a prime (387047) 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, 6315 + ... + 6375.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2387045 is an apocalyptic number.

It is an amenable number.

387045 is a deficient number, since it is larger than the sum of its proper divisors (327195).

387045 is a wasteful number, since it uses less digits than its factorization.

387045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 387045 is about 622.1294077602. The cubic root of 387045 is about 72.8764407605.

The spelling of 387045 in words is "three hundred eighty-seven thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 47 61 135 141 183 235 305 423 549 705 915 1269 1647 2115 2745 2867 6345 8235 8601 14335 25803 43005 77409 129015 387045