Search a number
-
+
306531060 = 223511795879
BaseRepresentation
bin10010010001010…
…100101011110100
3210100210101120020
4102101110223310
51111432443220
650230005140
710411320363
oct2221245364
9710711506
10306531060
11148035360
12867a67b0
134b676734
142c9d37da
151bd9e040
hex12454af4

306531060 has 96 divisors (see below), whose sum is σ = 948326400. Its totient is φ = 73357440.

The previous prime is 306531059. The next prime is 306531089. The reversal of 306531060 is 60135603.

It is a super-2 number, since 2×3065310602 = 187922581489447200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 306531060.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 49201 + ... + 55079.

It is an arithmetic number, because the mean of its divisors is an integer number (9878400).

Almost surely, 2306531060 is an apocalyptic number.

306531060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306531060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474163200).

306531060 is an abundant number, since it is smaller than the sum of its proper divisors (641795340).

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

306531060 is a wasteful number, since it uses less digits than its factorization.

306531060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5981 (or 5979 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 306531060 is about 17508.0284441167. The cubic root of 306531060 is about 674.2560142987.

Adding to 306531060 its reverse (60135603), we get a palindrome (366666663).

It can be divided in two parts, 30653 and 1060, that added together give a palindrome (31713).

The spelling of 306531060 in words is "three hundred six million, five hundred thirty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 79 110 132 158 165 220 237 316 330 395 474 660 790 869 948 1185 1580 1738 2370 2607 3476 4345 4740 5214 5879 8690 10428 11758 13035 17380 17637 23516 26070 29395 35274 52140 58790 64669 70548 88185 117580 129338 176370 194007 258676 323345 352740 388014 464441 646690 776028 928882 970035 1293380 1393323 1857764 1940070 2322205 2786646 3880140 4644410 5108851 5573292 6966615 9288820 10217702 13933230 15326553 20435404 25544255 27866460 30653106 51088510 61306212 76632765 102177020 153265530 306531060