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1301364 = 223237977
BaseRepresentation
bin100111101101101110100
32110010010200
410331231310
5313120424
643520500
714030031
oct4755564
92403120
101301364
11809809
12529130
1336744c
1425c388
151aa8c9
hex13db74

1301364 has 36 divisors (see below), whose sum is σ = 3381924. Its totient is φ = 421632.

The previous prime is 1301353. The next prime is 1301387. The reversal of 1301364 is 4631031.

1301364 is a `hidden beast` number, since 1 + 301 + 364 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1192464 + 108900 = 1092^2 + 330^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 844 + ... + 1820.

21301364 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 1301364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690962).

1301364 is an abundant number, since it is smaller than the sum of its proper divisors (2080560).

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

1301364 is a wasteful number, since it uses less digits than its factorization.

1301364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1301364 is about 1140.7734218503. The cubic root of 1301364 is about 109.1774457304.

Adding to 1301364 its reverse (4631031), we get a palindrome (5932395).

The spelling of 1301364 in words is "one million, three hundred one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 977 1332 1954 2931 3908 5862 8793 11724 17586 35172 36149 72298 108447 144596 216894 325341 433788 650682 1301364