Search a number
-
+
1684413332 = 227414013659
BaseRepresentation
bin110010001100110…
…0001101110010100
311100101112001200222
41210121201232110
511422202211312
6435050453512
756512164020
oct14431415624
94311461628
101684413332
11794897738
123b0134298
1320ac7cba4
1411d9c9380
159cd25672
hex64661b94

1684413332 has 48 divisors (see below), whose sum is σ = 3460544640. Its totient is φ = 702336000.

The previous prime is 1684413323. The next prime is 1684413337. The reversal of 1684413332 is 2333144861.

It is a junction number, because it is equal to n+sod(n) for n = 1684413292 and 1684413301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1684413337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458519 + ... + 462177.

It is an arithmetic number, because the mean of its divisors is an integer number (72094680).

Almost surely, 21684413332 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 1684413332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730272320).

1684413332 is an abundant number, since it is smaller than the sum of its proper divisors (1776131308).

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

1684413332 is a wasteful number, since it uses less digits than its factorization.

1684413332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112 (or 4110 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The square root of 1684413332 is about 41041.6048906472. The cubic root of 1684413332 is about 1189.8244526020.

The spelling of 1684413332 in words is "one billion, six hundred eighty-four million, four hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 41 82 164 287 401 574 802 1148 1604 2807 3659 5614 7318 11228 14636 16441 25613 32882 51226 65764 102452 115087 150019 230174 300038 460348 600076 1050133 1467259 2100266 2934518 4200532 5869036 10270813 20541626 41083252 60157619 120315238 240630476 421103333 842206666 1684413332