Search a number
-
+
208901304 = 2332171031657
BaseRepresentation
bin11000111001110…
…01010010111000
3112120002021201100
430130321102320
5411434320204
632421251400
75114426463
oct1434712270
9476067640
10208901304
11a7a12707
1259b63b60
1334382a51
141da5c2da
1513516a39
hexc7394b8

208901304 has 96 divisors (see below), whose sum is σ = 605236320. Its totient is φ = 64862208.

The previous prime is 208901233. The next prime is 208901347. The reversal of 208901304 is 403109802.

208901304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125244 + ... + 126900.

It is an arithmetic number, because the mean of its divisors is an integer number (6304545).

Almost surely, 2208901304 is an apocalyptic number.

208901304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208901304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302618160).

208901304 is an abundant number, since it is smaller than the sum of its proper divisors (396335016).

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

208901304 is a wasteful number, since it uses less digits than its factorization.

208901304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 208901304 is about 14453.4184191837. The cubic root of 208901304 is about 593.3537848721.

The spelling of 208901304 in words is "two hundred eight million, nine hundred one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 103 136 153 204 206 306 309 408 412 612 618 824 927 1224 1236 1657 1751 1854 2472 3314 3502 3708 4971 5253 6628 7004 7416 9942 10506 13256 14008 14913 15759 19884 21012 28169 29826 31518 39768 42024 56338 59652 63036 84507 112676 119304 126072 169014 170671 225352 253521 338028 341342 507042 512013 676056 682684 1014084 1024026 1365368 1536039 2028168 2048052 2901407 3072078 4096104 5802814 6144156 8704221 11605628 12288312 17408442 23211256 26112663 34816884 52225326 69633768 104450652 208901304