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1327704 = 233721129
BaseRepresentation
bin101000100001001011000
32111110021020
411010021120
5314441304
644242440
714166600
oct5041130
92443236
101327704
11827584
12540420
13376431
14267c00
151b35d9
hex144258

1327704 has 48 divisors (see below), whose sum is σ = 3864600. Its totient is φ = 379008.

The previous prime is 1327679. The next prime is 1327709. The reversal of 1327704 is 4077231.

1327704 = 1402 + 1412 + ... + 1882.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 612 + ... + 1740.

21327704 is an apocalyptic number.

1327704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932300).

1327704 is an abundant number, since it is smaller than the sum of its proper divisors (2536896).

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

1327704 is a wasteful number, since it uses less digits than its factorization.

1327704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 1327704 is about 1152.2603872389. The cubic root of 1327704 is about 109.9091260492.

The spelling of 1327704 in words is "one million, three hundred twenty-seven thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1129 1176 2258 3387 4516 6774 7903 9032 13548 15806 23709 27096 31612 47418 55321 63224 94836 110642 165963 189672 221284 331926 442568 663852 1327704