Search a number
-
+
204131328 = 210366449
BaseRepresentation
bin11000010101011…
…00110000000000
3112020002221112120
430022230300000
5404224200303
632131124240
75026042032
oct1412546000
9466087476
10204131328
11a5254985
1258443680
13333a288b
141d179c52
1512dc3553
hexc2acc00

204131328 has 44 divisors (see below), whose sum is σ = 544092600. Its totient is φ = 68042752.

The previous prime is 204131321. The next prime is 204131329. The reversal of 204131328 is 823131402.

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

It is a junction number, because it is equal to n+sod(n) for n = 204131298 and 204131307.

It is not an unprimeable number, because it can be changed into a prime (204131321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30153 + ... + 36296.

Almost surely, 2204131328 is an apocalyptic number.

It is an amenable number.

204131328 is an abundant number, since it is smaller than the sum of its proper divisors (339961272).

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

204131328 is an equidigital number, since it uses as much as digits as its factorization.

204131328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66472 (or 66454 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 204131328 is about 14287.4535169848. The cubic root of 204131328 is about 588.8028276487.

The spelling of 204131328 in words is "two hundred four million, one hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 66449 132898 199347 265796 398694 531592 797388 1063184 1594776 2126368 3189552 4252736 6379104 8505472 12758208 17010944 25516416 34021888 51032832 68043776 102065664 204131328