Search a number
-
+
2434120 = 2351331151
BaseRepresentation
bin1001010010010001001000
311120122222121
421102101020
51110342440
6124101024
726455363
oct11222110
94518877
102434120
111412877
12994774
13672c10
144750da
1533134a
hex252448

2434120 has 64 divisors (see below), whose sum is σ = 6128640. Its totient is φ = 864000.

The previous prime is 2434099. The next prime is 2434123. The reversal of 2434120 is 214342.

It is a junction number, because it is equal to n+sod(n) for n = 2434094 and 2434103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16045 + ... + 16195.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

22434120 is an apocalyptic number.

2434120 is a gapful number since it is divisible by the number (20) 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 2434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064320).

2434120 is an abundant number, since it is smaller than the sum of its proper divisors (3694520).

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

2434120 is a wasteful number, since it uses less digits than its factorization.

2434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2434120 is about 1560.1666577645. The cubic root of 2434120 is about 134.5180805146.

Adding to 2434120 its reverse (214342), we get a palindrome (2648462).

The spelling of 2434120 in words is "two million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 151 155 248 260 302 310 403 520 604 620 755 806 1208 1240 1510 1612 1963 2015 3020 3224 3926 4030 4681 6040 7852 8060 9362 9815 15704 16120 18724 19630 23405 37448 39260 46810 60853 78520 93620 121706 187240 243412 304265 486824 608530 1217060 2434120