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671364 = 2232171097
BaseRepresentation
bin10100011111010000100
31021002221100
42203322010
5132440424
622220100
75464221
oct2437204
91232840
10671364
11419451
12284630
131a6775
14136948
15d3dc9
hexa3e84

671364 has 36 divisors (see below), whose sum is σ = 1798524. Its totient is φ = 210432.

The previous prime is 671357. The next prime is 671369. The reversal of 671364 is 463176.

It can be written as a sum of positive squares in 2 ways, for example, as 360000 + 311364 = 600^2 + 558^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 671364.

It is not an unprimeable number, because it can be changed into a prime (671369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64 + ... + 1160.

It is an arithmetic number, because the mean of its divisors is an integer number (49959).

2671364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899262).

671364 is an abundant number, since it is smaller than the sum of its proper divisors (1127160).

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

671364 is a wasteful number, since it uses less digits than its factorization.

671364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1119 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 671364 is about 819.3680491696. The cubic root of 671364 is about 87.5627413954.

It can be divided in two parts, 671 and 364, that added together give a triangular number (1035 = T45).

The spelling of 671364 in words is "six hundred seventy-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1097 2194 3291 4388 6582 9873 13164 18649 19746 37298 39492 55947 74596 111894 167841 223788 335682 671364