Search a number
-
+
304001412 = 2231113172613
BaseRepresentation
bin10010000111101…
…011000110000100
3210012000212112120
4102013223012010
51110311021122
650055445540
710350653331
oct2207530604
9705025476
10304001412
11146667840
12859868b0
134ac9c1c0
142c535988
151ba4e75c
hex121eb184

304001412 has 144 divisors (see below), whose sum is σ = 886694592. Its totient is φ = 79902720.

The previous prime is 304001377. The next prime is 304001413. The reversal of 304001412 is 214100403.

304001412 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 = 304001391 and 304001400.

It is not an unprimeable number, because it can be changed into a prime (304001413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 495618 + ... + 496230.

Almost surely, 2304001412 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 304001412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443347296).

304001412 is an abundant number, since it is smaller than the sum of its proper divisors (582693180).

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

304001412 is a wasteful number, since it uses less digits than its factorization.

304001412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 304001412 is about 17435.6362659927. The cubic root of 304001412 is about 672.3961223909.

Adding to 304001412 its reverse (214100403), we get a palindrome (518101815).

The spelling of 304001412 in words is "three hundred four million, one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 17 22 26 33 34 39 44 51 52 66 68 78 102 132 143 156 187 204 221 286 289 374 429 442 561 572 578 613 663 748 858 867 884 1122 1156 1226 1326 1716 1734 1839 2244 2431 2452 2652 3179 3468 3678 3757 4862 6358 6743 7293 7356 7514 7969 9537 9724 10421 11271 12716 13486 14586 15028 15938 19074 20229 20842 22542 23907 26972 29172 31263 31876 38148 40458 41327 41684 45084 47814 62526 80916 82654 87659 95628 114631 123981 125052 135473 165308 175318 177157 229262 247962 262977 270946 343893 350636 354314 406419 458524 495924 525954 531471 541892 687786 708628 812838 1051908 1062942 1375572 1490203 1625676 1948727 2125884 2303041 2980406 3897454 4470609 4606082 5846181 5960812 6909123 7794908 8941218 9212164 11692362 13818246 17882436 23384724 25333451 27636492 50666902 76000353 101333804 152000706 304001412