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2124234342 = 2331133371033
BaseRepresentation
bin111111010011101…
…0011111001100110
312111001010021201000
41332213103321212
513322300444332
6550441414130
7103432460016
oct17647237146
95431107630
102124234342
119a009077a
124b349a346
1327b1246c9
14162197c46
15c6752b7c
hex7e9d3e66

2124234342 has 64 divisors (see below), whose sum is σ = 4781050560. Its totient is φ = 699052032.

The previous prime is 2124234341. The next prime is 2124234353. The reversal of 2124234342 is 2434324212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124234341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2055858 + ... + 2056890.

It is an arithmetic number, because the mean of its divisors is an integer number (74703915).

Almost surely, 22124234342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124234342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390525280).

2124234342 is an abundant number, since it is smaller than the sum of its proper divisors (2656816218).

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

2124234342 is a wasteful number, since it uses less digits than its factorization.

2124234342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1488 counting only the distinct ones).

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

The square root of 2124234342 is about 46089.4168112377. The cubic root of 2124234342 is about 1285.4863671866.

Adding to 2124234342 its reverse (2434324212), we get a palindrome (4558558554).

The spelling of 2124234342 in words is "two billion, one hundred twenty-four million, two hundred thirty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 113 226 337 339 674 678 1011 1017 1033 2022 2034 2066 3033 3051 3099 6066 6102 6198 9099 9297 18198 18594 27891 38081 55782 76162 114243 116729 228486 233458 342729 348121 350187 685458 696242 700374 1028187 1044363 1050561 2056374 2088726 2101122 3133089 3151683 6266178 6303366 9399267 18798534 39337673 78675346 118013019 236026038 354039057 708078114 1062117171 2124234342