Search a number
-
+
208714368 = 2733671481
BaseRepresentation
bin11000111000010…
…11101010000000
3112112201210021210
430130023222000
5411412324433
632413250120
75113020462
oct1434135200
9475653253
10208714368
11a78a5215
1259a93940
1334318935
141da10132
15134cb463
hexc70ba80

208714368 has 64 divisors (see below), whose sum is σ = 556283520. Its totient is φ = 69335040.

The previous prime is 208714339. The next prime is 208714391. The reversal of 208714368 is 863417802.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 140188 + ... + 141668.

It is an arithmetic number, because the mean of its divisors is an integer number (8691930).

Almost surely, 2208714368 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 208714368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278141760).

208714368 is an abundant number, since it is smaller than the sum of its proper divisors (347569152).

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

208714368 is a wasteful number, since it uses less digits than its factorization.

208714368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 208714368 is about 14446.9501279682. The cubic root of 208714368 is about 593.1767438756.

The spelling of 208714368 in words is "two hundred eight million, seven hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 367 384 734 1101 1468 1481 2202 2936 2962 4404 4443 5872 5924 8808 8886 11744 11848 17616 17772 23488 23696 35232 35544 46976 47392 70464 71088 94784 140928 142176 189568 284352 543527 568704 1087054 1630581 2174108 3261162 4348216 6522324 8696432 13044648 17392864 26089296 34785728 52178592 69571456 104357184 208714368