Search a number
-
+
208341792 = 2532723409
BaseRepresentation
bin11000110101100…
…00101100100000
3112112000212012200
430122300230200
5411313414132
632401253200
75106606321
oct1432605440
9475025180
10208341792
11a76702aa
1259934200
1334218189
141d954448
1513455d7c
hexc6b0b20

208341792 has 36 divisors (see below), whose sum is σ = 592472790. Its totient is φ = 69447168.

The previous prime is 208341769. The next prime is 208341799. The reversal of 208341792 is 297143802.

208341792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 194769936 + 13571856 = 13956^2 + 3684^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (208341799) 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 5 ways as a sum of consecutive naturals, for example, 361417 + ... + 361992.

Almost surely, 2208341792 is an apocalyptic number.

It is an amenable number.

208341792 is an abundant number, since it is smaller than the sum of its proper divisors (384130998).

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

208341792 is a wasteful number, since it uses less digits than its factorization.

208341792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723425 (or 723414 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 208341792 is about 14434.0497435751. The cubic root of 208341792 is about 592.8235737264.

The spelling of 208341792 in words is "two hundred eight million, three hundred forty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 723409 1446818 2170227 2893636 4340454 5787272 6510681 8680908 11574544 13021362 17361816 23149088 26042724 34723632 52085448 69447264 104170896 208341792