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304199808 = 2731126547
BaseRepresentation
bin10010001000011…
…011100010000000
3210012101221200120
4102020123202000
51110333343213
650104020240
710352440623
oct2210334200
9705357616
10304199808
11146792900
1285a61680
134b03b5b3
142c587dba
151ba8d423
hex1221b880

304199808 has 96 divisors (see below), whose sum is σ = 888301680. Its totient is φ = 92167680.

The previous prime is 304199801. The next prime is 304199867. The reversal of 304199808 is 808991403.

304199808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 304199808.

It is not an unprimeable number, because it can be changed into a prime (304199801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43191 + ... + 49737.

Almost surely, 2304199808 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 304199808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444150840).

304199808 is an abundant number, since it is smaller than the sum of its proper divisors (584101872).

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

304199808 is a wasteful number, since it uses less digits than its factorization.

304199808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6586 (or 6563 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 304199808 is about 17441.3247203302. The cubic root of 304199808 is about 672.5423626018.

The spelling of 304199808 in words is "three hundred four million, one hundred ninety-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3872 4224 5808 6547 7744 11616 13094 15488 19641 23232 26188 39282 46464 52376 72017 78564 104752 144034 157128 209504 216051 288068 314256 419008 432102 576136 628512 792187 838016 864204 1152272 1257024 1584374 1728408 2304544 2376561 2514048 3168748 3456816 4609088 4753122 6337496 6913632 9218176 9506244 12674992 13827264 19012488 25349984 27654528 38024976 50699968 76049952 101399936 152099904 304199808