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1327315644 = 2232166922091
BaseRepresentation
bin100111100011101…
…0011101010111100
310102111120121202200
41033013103222330
510204243100034
6335412551500
744614665624
oct11707235274
93374517680
101327315644
11621264986
12310622590
13181cb0195
14c83d1884
157b7d8a99
hex4f1d3abc

1327315644 has 36 divisors (see below), whose sum is σ = 3357321240. Its totient is φ = 442153440.

The previous prime is 1327315631. The next prime is 1327315657. The reversal of 1327315644 is 4465137231.

1327315644 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 3 + 1 + 5 + 644 = 666.

It is an interprime number because it is at equal distance from previous prime (1327315631) and next prime (1327315657).

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 1327315599 and 1327315608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49039 + ... + 71129.

Almost surely, 21327315644 is an apocalyptic number.

It is an amenable number.

1327315644 is an abundant number, since it is smaller than the sum of its proper divisors (2030005596).

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

1327315644 is a wasteful number, since it uses less digits than its factorization.

1327315644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23770 (or 23765 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 1327315644 is about 36432.3433778284. The cubic root of 1327315644 is about 1098.9840879320.

The spelling of 1327315644 in words is "one billion, three hundred twenty-seven million, three hundred fifteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1669 3338 5007 6676 10014 15021 20028 22091 30042 44182 60084 66273 88364 132546 198819 265092 397638 795276 36869879 73739758 110609637 147479516 221219274 331828911 442438548 663657822 1327315644