Search a number
-
+
3045024 = 253297109
BaseRepresentation
bin1011100111011010100000
312201200222200
423213122200
51234420044
6145133200
734611423
oct13473240
95650880
103045024
11179a854
12102a200
13827cb8
145939ba
15402369
hex2e76a0

3045024 has 72 divisors (see below), whose sum is σ = 8828820. Its totient is φ = 995328.

The previous prime is 3045019. The next prime is 3045041. The reversal of 3045024 is 4205403.

It is a happy number.

3045024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 17452-1.

It can be written as a sum of positive squares in 2 ways, for example, as 3027600 + 17424 = 1740^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 3044988 and 3045006.

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 11 ways as a sum of consecutive naturals, for example, 27882 + ... + 27990.

Almost surely, 23045024 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 3045024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414410).

3045024 is an abundant number, since it is smaller than the sum of its proper divisors (5783796).

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

3045024 is a wasteful number, since it uses less digits than its factorization.

3045024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3045024 is about 1744.9997134670. Note that the first 3 decimals coincide. The cubic root of 3045024 is about 144.9428867420.

It can be divided in two parts, 30 and 45024, that added together give a palindrome (45054).

The spelling of 3045024 in words is "three million, forty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 109 144 194 218 288 291 327 388 436 582 654 776 872 873 981 1164 1308 1552 1744 1746 1962 2328 2616 3104 3488 3492 3924 4656 5232 6984 7848 9312 10464 10573 13968 15696 21146 27936 31392 31719 42292 63438 84584 95157 126876 169168 190314 253752 338336 380628 507504 761256 1015008 1522512 3045024