Search a number
-
+
2034410130 = 2325154914593
BaseRepresentation
bin111100101000010…
…1010001010010010
312020210002202001100
41321100222022102
513131302111010
6533512245230
7101262125604
oct17120521222
95223082040
102034410130
1195440a495
124893a0816
1326563479c
14154295174
15bd90d2c0
hex7942a292

2034410130 has 48 divisors (see below), whose sum is σ = 5293243800. Its totient is φ = 542121984.

The previous prime is 2034410129. The next prime is 2034410137. The reversal of 2034410130 is 310144302.

It can be written as a sum of positive squares in 4 ways, for example, as 1004192721 + 1030217409 = 31689^2 + 32097^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2034410137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132114 + ... + 146706.

Almost surely, 22034410130 is an apocalyptic number.

2034410130 is an abundant number, since it is smaller than the sum of its proper divisors (3258833670).

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

2034410130 is a wasteful number, since it uses less digits than its factorization.

2034410130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16155 (or 16152 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2034410130 is about 45104.4358128998. The cubic root of 2034410130 is about 1267.1056766208.

Adding to 2034410130 its reverse (310144302), we get a palindrome (2344554432).

It can be divided in two parts, 2034 and 410130, that added together give a square (412164 = 6422).

The spelling of 2034410130 in words is "two billion, thirty-four million, four hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1549 3098 4647 7745 9294 13941 14593 15490 23235 27882 29186 43779 46470 69705 72965 87558 131337 139410 145930 218895 262674 437790 656685 1313370 22604557 45209114 67813671 113022785 135627342 203441013 226045570 339068355 406882026 678136710 1017205065 2034410130