Search a number
-
+
3024306 = 2321937239
BaseRepresentation
bin1011100010010110110010
312200122120100
423202112302
51233234211
6144453230
734464135
oct13422662
95618510
103024306
11178622a
12101a216
1381b73c
1458a21c
153eb156
hex2e25b2

3024306 has 48 divisors (see below), whose sum is σ = 7113600. Its totient is φ = 925344.

The previous prime is 3024227. The next prime is 3024311. The reversal of 3024306 is 6034203.

3024306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×30243063 = 82984780182787333848, which contains 333 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12535 + ... + 12773.

It is an arithmetic number, because the mean of its divisors is an integer number (148200).

Almost surely, 23024306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3024306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556800).

3024306 is an abundant number, since it is smaller than the sum of its proper divisors (4089294).

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

3024306 is a wasteful number, since it uses less digits than its factorization.

3024306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3024306 is about 1739.0531906759. The cubic root of 3024306 is about 144.6134133549.

Adding to 3024306 its reverse (6034203), we get a palindrome (9058509).

It can be divided in two parts, 30 and 24306, that added together give a square (24336 = 1562).

The spelling of 3024306 in words is "three million, twenty-four thousand, three hundred six".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 239 333 342 478 666 703 717 1406 1434 2109 2151 4218 4302 4541 6327 8843 9082 12654 13623 17686 26529 27246 40869 53058 79587 81738 159174 168017 336034 504051 1008102 1512153 3024306