Search a number
-
+
2434242132 = 223472234813
BaseRepresentation
bin1001000100010111…
…1001011001010100
320021122110022110000
42101011321121110
514441131222012
61041314131300
7114215500560
oct22105713124
96248408400
102434242132
11103a080163
1257b280b30
132ca41777a
141914146a0
15e3a8bddc
hex91179654

2434242132 has 120 divisors (see below), whose sum is σ = 7306804736. Its totient is φ = 692235072.

The previous prime is 2434242101. The next prime is 2434242179. The reversal of 2434242132 is 2312424342.

2434242132 is a `hidden beast` number, since 24 + 3 + 424 + 213 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2434242096 and 2434242105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 503358 + ... + 508170.

Almost surely, 22434242132 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 2434242132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653402368).

2434242132 is an abundant number, since it is smaller than the sum of its proper divisors (4872562604).

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

2434242132 is a wasteful number, since it uses less digits than its factorization.

2434242132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5059 (or 5048 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 2434242132 is about 49338.0394016625. The cubic root of 2434242132 is about 1345.2033029241.

Adding to 2434242132 its reverse (2312424342), we get a palindrome (4746666474).

The spelling of 2434242132 in words is "two billion, four hundred thirty-four million, two hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 223 252 324 378 446 567 669 756 892 1134 1338 1561 2007 2268 2676 3122 4014 4683 4813 6021 6244 8028 9366 9626 12042 14049 14439 18063 18732 19252 24084 28098 28878 33691 36126 42147 43317 56196 57756 67382 72252 84294 86634 101073 126441 129951 134764 168588 173268 202146 252882 259902 303219 389853 404292 505764 519804 606438 779706 909657 1073299 1212876 1559412 1819314 2146598 2728971 3219897 3638628 4293196 5457942 6439794 7513093 9659691 10915884 12879588 15026186 19319382 22539279 28979073 30052372 38638764 45078558 57958146 67617837 86937219 90157116 115916292 135235674 173874438 202853511 270471348 347748876 405707022 608560533 811414044 1217121066 2434242132