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304200312 = 233131783691
BaseRepresentation
bin10010001000011…
…011101001111000
3210012101222101020
4102020123221320
51110333402222
650104022440
710352442243
oct2210335170
9705358336
10304200312
11146793219
1285a61a20
134b03b8b0
142c58825a
151ba8d65c
hex1221ba78

304200312 has 128 divisors (see below), whose sum is σ = 878895360. Its totient is φ = 86906880.

The previous prime is 304200307. The next prime is 304200313. The reversal of 304200312 is 213002403.

304200312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 304200291 and 304200300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304200313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439887 + ... + 440577.

It is an arithmetic number, because the mean of its divisors is an integer number (6866370).

Almost surely, 2304200312 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 304200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439447680).

304200312 is an abundant number, since it is smaller than the sum of its proper divisors (574695048).

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

304200312 is a wasteful number, since it uses less digits than its factorization.

304200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 304200312 is about 17441.3391687680. The cubic root of 304200312 is about 672.5427340257.

Adding to 304200312 its reverse (213002403), we get a palindrome (517202715).

The spelling of 304200312 in words is "three hundred four million, two hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 83 102 104 136 156 166 204 221 249 312 332 408 442 498 663 664 691 884 996 1079 1326 1382 1411 1768 1992 2073 2158 2652 2764 2822 3237 4146 4233 4316 5304 5528 5644 6474 8292 8466 8632 8983 11288 11747 12948 16584 16932 17966 18343 23494 25896 26949 33864 35241 35932 36686 46988 53898 55029 57353 70482 71864 73372 93976 107796 110058 114706 140964 146744 152711 172059 215592 220116 229412 281928 305422 344118 440232 458133 458824 610844 688236 745589 916266 975001 1221688 1376472 1491178 1832532 1950002 2236767 2925003 2982356 3665064 3900004 4473534 5850006 5964712 7800008 8947068 11700012 12675013 17894136 23400024 25350026 38025039 50700052 76050078 101400104 152100156 304200312