[go: up one dir, main page]

Search a number
-
+
3042252 = 2233171657
BaseRepresentation
bin1011100110101111001100
312201120012000
423212233030
51234323002
6145112300
734600353
oct13465714
95646160
103042252
111798764
121028690
13826965
1459299a
1540161c
hex2e6bcc

3042252 has 48 divisors (see below), whose sum is σ = 8356320. Its totient is φ = 953856.

The previous prime is 3042229. The next prime is 3042257. The reversal of 3042252 is 2522403.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042257) 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 15 ways as a sum of consecutive naturals, for example, 1008 + ... + 2664.

It is an arithmetic number, because the mean of its divisors is an integer number (174090).

Almost surely, 23042252 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 3042252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178160).

3042252 is an abundant number, since it is smaller than the sum of its proper divisors (5314068).

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

3042252 is a wasteful number, since it uses less digits than its factorization.

3042252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1679 counting only the distinct ones).

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

The square root of 3042252 is about 1744.2052631500. The cubic root of 3042252 is about 144.8988910665.

Adding to 3042252 its reverse (2522403), we get a palindrome (5564655).

It can be divided in two parts, 304 and 2252, that added together give a triangular number (2556 = T71).

The spelling of 3042252 in words is "three million, forty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1657 1836 3314 4971 6628 9942 14913 19884 28169 29826 44739 56338 59652 84507 89478 112676 169014 178956 253521 338028 507042 760563 1014084 1521126 3042252