Search a number
-
+
306403812 = 22321113531123
BaseRepresentation
bin10010010000110…
…101100111100100
3210100112221000100
4102100311213210
51111414410222
650223144100
710410250401
oct2220654744
9710487010
10306403812
11147a587a0
1286745030
134b630840
142c99d2a8
151bd764ac
hex124359e4

306403812 has 144 divisors (see below), whose sum is σ = 927920448. Its totient is φ = 84015360.

The previous prime is 306403807. The next prime is 306403843. The reversal of 306403812 is 218304603.

It is a happy number.

306403812 is a `hidden beast` number, since 3 + 0 + 640 + 3 + 8 + 12 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 272283 + ... + 273405.

It is an arithmetic number, because the mean of its divisors is an integer number (6443892).

Almost surely, 2306403812 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 306403812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463960224).

306403812 is an abundant number, since it is smaller than the sum of its proper divisors (621516636).

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

306403812 is a wasteful number, since it uses less digits than its factorization.

306403812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 306403812 is about 17504.3940769168. The cubic root of 306403812 is about 674.1627017273.

It can be divided in two parts, 3064038 and 12, that added together give a triangular number (3064050 = T2475).

The spelling of 306403812 in words is "three hundred six million, four hundred three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 53 66 78 99 106 117 132 143 156 159 198 212 234 286 318 396 429 468 477 572 583 636 689 858 954 1123 1166 1287 1378 1716 1749 1908 2067 2246 2332 2574 2756 3369 3498 4134 4492 5148 5247 6201 6738 6996 7579 8268 10107 10494 12353 12402 13476 14599 15158 20214 20988 22737 24706 24804 29198 30316 37059 40428 43797 45474 49412 58396 59519 68211 74118 87594 90948 111177 119038 131391 136422 148236 160589 175188 178557 222354 238076 262782 272844 321178 357114 444708 481767 525564 535671 642356 654709 714228 773747 963534 1071342 1309418 1445301 1547494 1927068 1964127 2142684 2321241 2618836 2890602 3094988 3928254 4642482 5781204 5892381 6963723 7856508 8511217 9284964 11784762 13927446 17022434 23569524 25533651 27854892 34044868 51067302 76600953 102134604 153201906 306403812