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2380024134 = 23535313873
BaseRepresentation
bin1000110111011100…
…0100100101000110
320010212102202100000
42031313010211012
514333241233014
61032100102130
7112656604605
oct21567044506
96125382300
102380024134
1110115093a4
12565094946
132bc113507
1418813da3c
15dde2c509
hex8ddc4946

2380024134 has 48 divisors (see below), whose sum is σ = 5363244432. Its totient is φ = 791036928.

The previous prime is 2380024133. The next prime is 2380024147. The reversal of 2380024134 is 4314200832.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2380024098 and 2380024107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2380024133) 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, 164622 + ... + 178494.

It is an arithmetic number, because the mean of its divisors is an integer number (111734259).

Almost surely, 22380024134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2380024134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681622216).

2380024134 is an abundant number, since it is smaller than the sum of its proper divisors (2983220298).

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

2380024134 is a wasteful number, since it uses less digits than its factorization.

2380024134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14243 (or 14231 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2380024134 is about 48785.4910193594. The cubic root of 2380024134 is about 1335.1409622647.

Adding to 2380024134 its reverse (4314200832), we get a palindrome (6694224966).

The spelling of 2380024134 in words is "two billion, three hundred eighty million, twenty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 353 486 706 1059 2118 3177 6354 9531 13873 19062 27746 28593 41619 57186 83238 85779 124857 171558 249714 374571 749142 1123713 2247426 3371139 4897169 6742278 9794338 14691507 29383014 44074521 88149042 132223563 264447126 396670689 793341378 1190012067 2380024134