Search a number
-
+
1341684 = 223441101
BaseRepresentation
bin101000111100011110100
32112011110000
411013203310
5320413214
644431300
714255421
oct5074364
92464400
101341684
11837033
12548530
1337c8c6
1426cd48
151b7809
hex1478f4

1341684 has 60 divisors (see below), whose sum is σ = 3628548. Its totient is φ = 432000.

The previous prime is 1341677. The next prime is 1341689. The reversal of 1341684 is 4861431.

It can be written as a sum of positive squares in 2 ways, for example, as 685584 + 656100 = 828^2 + 810^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341689) 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 19 ways as a sum of consecutive naturals, for example, 13234 + ... + 13334.

21341684 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 1341684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814274).

1341684 is an abundant number, since it is smaller than the sum of its proper divisors (2286864).

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

1341684 is a wasteful number, since it uses less digits than its factorization.

1341684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1341684 is about 1158.3108391101. The cubic root of 1341684 is about 110.2935410417.

It can be divided in two parts, 1341 and 684, that added together give a square (2025 = 452).

The spelling of 1341684 in words is "one million, three hundred forty-one thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 101 108 123 162 164 202 246 303 324 369 404 492 606 738 909 1107 1212 1476 1818 2214 2727 3321 3636 4141 4428 5454 6642 8181 8282 10908 12423 13284 16362 16564 24846 32724 37269 49692 74538 111807 149076 223614 335421 447228 670842 1341684