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2314342324 = 2272313591061
BaseRepresentation
bin1000100111110010…
…0000111110110100
312222021211202211101
42021330200332310
514214432423244
61021352215444
7111231404500
oct21174407664
95867752741
102314342324
11a88427708
1254709a584
132ab627338
1417d523300
15d82a60d4
hex89f20fb4

2314342324 has 72 divisors (see below), whose sum is σ = 4881461760. Its totient is φ = 956289600.

The previous prime is 2314342321. The next prime is 2314342337. The reversal of 2314342324 is 4232434132.

2314342324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2314342292 and 2314342301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314342321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2180754 + ... + 2181814.

It is an arithmetic number, because the mean of its divisors is an integer number (67798080).

Almost surely, 22314342324 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 2314342324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440730880).

2314342324 is an abundant number, since it is smaller than the sum of its proper divisors (2567119436).

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

2314342324 is a wasteful number, since it uses less digits than its factorization.

2314342324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1460 counting only the distinct ones).

The product of its digits is 13824, while the sum is 28.

The square root of 2314342324 is about 48107.6119132929. The cubic root of 2314342324 is about 1322.7441999591.

Adding to 2314342324 its reverse (4232434132), we get a palindrome (6546776456).

The spelling of 2314342324 in words is "two billion, three hundred fourteen million, three hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 359 434 718 868 1061 1436 1519 2122 2513 3038 4244 5026 6076 7427 10052 11129 14854 17591 22258 29708 32891 35182 44516 51989 65782 70364 77903 103978 131564 155806 207956 230237 311612 380899 460474 545321 761798 920948 1090642 1523596 1611659 2181284 2666293 3223318 5332586 6446636 10665172 11807869 18664051 23615738 37328102 47231476 74656204 82655083 165310166 330620332 578585581 1157171162 2314342324