Search a number
-
+
306236052 = 22344123053
BaseRepresentation
bin10010010000001…
…100101010010100
3210100020101220000
4102100030222110
51111344023202
650215411300
710405651323
oct2220145224
9710211800
10306236052
11147953751
1286683b30
134b5a2385
142c9580ba
151bd4191c
hex1240ca94

306236052 has 60 divisors (see below), whose sum is σ = 820122996. Its totient is φ = 99584640.

The previous prime is 306236039. The next prime is 306236057. The reversal of 306236052 is 250632603.

306236052 is a `hidden beast` number, since 30 + 6 + 23 + 605 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110124036 + 196112016 = 10494^2 + 14004^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306236057) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1758 + ... + 24810.

Almost surely, 2306236052 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 306236052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410061498).

306236052 is an abundant number, since it is smaller than the sum of its proper divisors (513886944).

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

306236052 is a wasteful number, since it uses less digits than its factorization.

306236052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23110 (or 23099 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 306236052 is about 17499.6014811766. The cubic root of 306236052 is about 674.0396417027.

Adding to 306236052 its reverse (250632603), we get a palindrome (556868655).

The spelling of 306236052 in words is "three hundred six million, two hundred thirty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 1107 1476 2214 3321 4428 6642 13284 23053 46106 69159 92212 138318 207477 276636 414954 622431 829908 945173 1244862 1867293 1890346 2489724 2835519 3734586 3780692 5671038 7469172 8506557 11342076 17013114 25519671 34026228 51039342 76559013 102078684 153118026 306236052