Search a number
-
+
205342464 = 283267373
BaseRepresentation
bin11000011110101…
…00011100000000
3112022101110220110
430033110130000
5410031424324
632213111320
75042245035
oct1417243400
9468343813
10205342464
11a5a01918
1258928540
1333707c22
141d3b338c
1513062329
hexc3d4700

205342464 has 36 divisors (see below), whose sum is σ = 546512456. Its totient is φ = 68447232.

The previous prime is 205342451. The next prime is 205342469. The reversal of 205342464 is 464243502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205342469) 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 3 ways as a sum of consecutive naturals, for example, 132919 + ... + 134454.

Almost surely, 2205342464 is an apocalyptic number.

205342464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205342464 is an abundant number, since it is smaller than the sum of its proper divisors (341169992).

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

205342464 is an equidigital number, since it uses as much as digits as its factorization.

205342464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267392 (or 267378 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 205342464 is about 14329.7754343884. The cubic root of 205342464 is about 589.9650118101.

Adding to 205342464 its reverse (464243502), we get a palindrome (669585966).

The spelling of 205342464 in words is "two hundred five million, three hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 267373 534746 802119 1069492 1604238 2138984 3208476 4277968 6416952 8555936 12833904 17111872 25667808 34223744 51335616 68447488 102671232 205342464