Search a number
-
+
306341112 = 233711473527
BaseRepresentation
bin10010010000100…
…110010011111000
3210100102202000010
4102100212103320
51111410403422
650221541520
710406566530
oct2220462370
9710382003
10306341112
11147a15680
12867148a0
134b60b13c
142c9844c0
151bd62b0c
hex124264f8

306341112 has 128 divisors (see below), whose sum is σ = 975421440. Its totient is φ = 77854080.

The previous prime is 306341089. The next prime is 306341149. The reversal of 306341112 is 211143603.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85093 + ... + 88619.

It is an arithmetic number, because the mean of its divisors is an integer number (7620480).

Almost surely, 2306341112 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 306341112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487710720).

306341112 is an abundant number, since it is smaller than the sum of its proper divisors (669080328).

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

306341112 is a wasteful number, since it uses less digits than its factorization.

306341112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 306341112 is about 17502.6030064102. The cubic root of 306341112 is about 674.1167135212.

Adding to 306341112 its reverse (211143603), we get a palindrome (517484715).

The spelling of 306341112 in words is "three hundred six million, three hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 47 56 66 77 84 88 94 132 141 154 168 188 231 264 282 308 329 376 462 517 564 616 658 924 987 1034 1128 1316 1551 1848 1974 2068 2632 3102 3527 3619 3948 4136 6204 7054 7238 7896 10581 10857 12408 14108 14476 21162 21714 24689 28216 28952 38797 42324 43428 49378 74067 77594 84648 86856 98756 116391 148134 155188 165769 197512 232782 271579 296268 310376 331538 465564 497307 543158 592536 663076 814737 931128 994614 1086316 1160383 1326152 1629474 1823459 1989228 2172632 2320766 3258948 3481149 3646918 3978456 4641532 5470377 6517896 6962298 7293836 9283064 10940754 12764213 13924596 14587672 21881508 25528426 27849192 38292639 43763016 51056852 76585278 102113704 153170556 306341112