Search a number
-
+
2042434134 = 232139789983
BaseRepresentation
bin111100110111101…
…0001001001010110
312021100012101220200
41321233101021112
513140330343014
6534400241330
7101420255316
oct17157211126
95240171820
102042434134
1195899aaa4
12490010246
132671b3b10
14155383446
15be495a09
hex79bd1256

2042434134 has 48 divisors (see below), whose sum is σ = 4814863872. Its totient is φ = 621955584.

The previous prime is 2042434123. The next prime is 2042434139. The reversal of 2042434134 is 4314342402.

It is a happy number.

2042434134 is a `hidden beast` number, since 2 + 0 + 4 + 243 + 413 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2042434098 and 2042434107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042434139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22294 + ... + 67689.

It is an arithmetic number, because the mean of its divisors is an integer number (100309664).

Almost surely, 22042434134 is an apocalyptic number.

2042434134 is an abundant number, since it is smaller than the sum of its proper divisors (2772429738).

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

2042434134 is a wasteful number, since it uses less digits than its factorization.

2042434134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90101 (or 90098 counting only the distinct ones).

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

The square root of 2042434134 is about 45193.2974455284. The cubic root of 2042434134 is about 1268.7693731453.

Adding to 2042434134 its reverse (4314342402), we get a palindrome (6356776536).

The spelling of 2042434134 in words is "two billion, forty-two million, four hundred thirty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 194 234 291 582 873 1261 1746 2522 3783 7566 11349 22698 89983 179966 269949 539898 809847 1169779 1619694 2339558 3509337 7018674 8728351 10528011 17456702 21056022 26185053 52370106 78555159 113468563 157110318 226937126 340405689 680811378 1021217067 2042434134