Search a number
-
+
3061224 = 2332174161
BaseRepresentation
bin1011101011010111101000
312202112012200
423223113220
51240424344
6145340200
735006565
oct13532750
95675180
103061224
111800a41
121037660
1383249a
1459986c
15407069
hex2eb5e8

3061224 has 96 divisors (see below), whose sum is σ = 9140040. Its totient is φ = 921600.

The previous prime is 3061187. The next prime is 3061229. The reversal of 3061224 is 4221603.

It is a happy number.

3061224 is a `hidden beast` number, since 30 + 612 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1397124 + 1664100 = 1182^2 + 1290^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3061197 and 3061206.

It is not an unprimeable number, because it can be changed into a prime (3061229) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 50154 + ... + 50214.

Almost surely, 23061224 is an apocalyptic number.

3061224 is a gapful number since it is divisible by the number (34) 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 3061224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570020).

3061224 is an abundant number, since it is smaller than the sum of its proper divisors (6078816).

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

3061224 is a wasteful number, since it uses less digits than its factorization.

3061224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3061224 is about 1749.6353905886. The cubic root of 3061224 is about 145.1994718010.

Adding to 3061224 its reverse (4221603), we get a palindrome (7282827).

It can be divided in two parts, 306 and 1224, that multiplied together give a square (374544 = 6122).

The spelling of 3061224 in words is "three million, sixty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 41 51 61 68 72 82 102 122 123 136 153 164 183 204 244 246 306 328 366 369 408 488 492 549 612 697 732 738 984 1037 1098 1224 1394 1464 1476 2074 2091 2196 2501 2788 2952 3111 4148 4182 4392 5002 5576 6222 6273 7503 8296 8364 9333 10004 12444 12546 15006 16728 18666 20008 22509 24888 25092 30012 37332 42517 45018 50184 60024 74664 85034 90036 127551 170068 180072 255102 340136 382653 510204 765306 1020408 1530612 3061224