Search a number
-
+
30204432 = 2432375669
BaseRepresentation
bin111001100111…
…0001000010000
32002211112200200
41303032020100
530213020212
62555215200
7514506366
oct163161020
962745620
1030204432
1116060045
12a147500
13634705b
144023636
1529b96dc
hex1cce210

30204432 has 60 divisors (see below), whose sum is σ = 86830380. Its totient is φ = 9794304.

The previous prime is 30204403. The next prime is 30204443. The reversal of 30204432 is 23440203.

30204432 is a `hidden beast` number, since 30 + 204 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17842176 + 12362256 = 4224^2 + 3516^2 .

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

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, 2494 + ... + 8162.

It is an arithmetic number, because the mean of its divisors is an integer number (1447173).

Almost surely, 230204432 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 30204432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43415190).

30204432 is an abundant number, since it is smaller than the sum of its proper divisors (56625948).

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

30204432 is a wasteful number, since it uses less digits than its factorization.

30204432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5720 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 30204432 is about 5495.8558933072. The cubic root of 30204432 is about 311.4274509481.

Adding to 30204432 its reverse (23440203), we get a palindrome (53644635).

The spelling of 30204432 in words is "thirty million, two hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 5669 11338 17007 22676 34014 45352 51021 68028 90704 102042 136056 204084 209753 272112 408168 419506 629259 816336 839012 1258518 1678024 1887777 2517036 3356048 3775554 5034072 7551108 10068144 15102216 30204432