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208834064 = 24101129229
BaseRepresentation
bin11000111001010…
…00111000010000
3112112221212110222
430130220320100
5411430142224
632420012212
75114026445
oct1434507020
9475855428
10208834064
11a797713a
1259b31068
133435b26a
141da419cc
1513501b5e
hexc728e10

208834064 has 20 divisors (see below), whose sum is σ = 408625260. Its totient is φ = 103382400.

The previous prime is 208834063. The next prime is 208834091. The reversal of 208834064 is 460438802.

It can be written as a sum of positive squares in 2 ways, for example, as 127690000 + 81144064 = 11300^2 + 9008^2 .

It is a super-2 number, since 2×2088340642 = 87223332573512192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (208834061) 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, 62999 + ... + 66230.

It is an arithmetic number, because the mean of its divisors is an integer number (20431263).

Almost surely, 2208834064 is an apocalyptic number.

It is an amenable number.

208834064 is a deficient number, since it is larger than the sum of its proper divisors (199791196).

208834064 is a wasteful number, since it uses less digits than its factorization.

208834064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129338 (or 129332 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 208834064 is about 14451.0921386586. The cubic root of 208834064 is about 593.2901162255.

The spelling of 208834064 in words is "two hundred eight million, eight hundred thirty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 101 202 404 808 1616 129229 258458 516916 1033832 2067664 13052129 26104258 52208516 104417032 208834064