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389301 = 31147251
BaseRepresentation
bin1011111000010110101
3201210000120
41133002311
544424201
612202153
73210663
oct1370265
9653016
10389301
11246540
12169359
13108273
14a1c33
157a536
hex5f0b5

389301 has 16 divisors (see below), whose sum is σ = 580608. Its totient is φ = 230000.

The previous prime is 389299. The next prime is 389303. The reversal of 389301 is 103983.

It is an interprime number because it is at equal distance from previous prime (389299) and next prime (389303).

It is a cyclic number.

It is not a de Polignac number, because 389301 - 21 = 389299 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax 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 389301.

It is not an unprimeable number, because it can be changed into a prime (389303) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1426 + ... + 1676.

It is an arithmetic number, because the mean of its divisors is an integer number (36288).

2389301 is an apocalyptic number.

It is an amenable number.

389301 is a deficient number, since it is larger than the sum of its proper divisors (191307).

389301 is a wasteful number, since it uses less digits than its factorization.

389301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 389301 is about 623.9399009520. The cubic root of 389301 is about 73.0177601124.

It can be divided in two parts, 38 and 9301, that added together give a palindrome (9339).

The spelling of 389301 in words is "three hundred eighty-nine thousand, three hundred one".

Divisors: 1 3 11 33 47 141 251 517 753 1551 2761 8283 11797 35391 129767 389301