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2300034141 = 32733679539
BaseRepresentation
bin1000100100010111…
…1011110001011101
312221021220211200200
42021011323301131
514202302043031
61020121414113
7110665652616
oct21105736135
95837824620
102300034141
11a80344769
1254233a339
132a8687862
1417b67ac0d
15d6dcb8e6
hex8917bc5d

2300034141 has 24 divisors (see below), whose sum is σ = 3377312640. Its totient is φ = 1508072256.

The previous prime is 2300034133. The next prime is 2300034161. The reversal of 2300034141 is 1414300032.

It is not a de Polignac number, because 2300034141 - 23 = 2300034133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300034101) 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, 236350 + ... + 245888.

It is an arithmetic number, because the mean of its divisors is an integer number (140721360).

Almost surely, 22300034141 is an apocalyptic number.

It is an amenable number.

2300034141 is a deficient number, since it is larger than the sum of its proper divisors (1077278499).

2300034141 is a wasteful number, since it uses less digits than its factorization.

2300034141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9985 (or 9982 counting only the distinct ones).

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

The square root of 2300034141 is about 47958.6711763368. The cubic root of 2300034141 is about 1320.0126531156.

Adding to 2300034141 its reverse (1414300032), we get a palindrome (3714334173).

The spelling of 2300034141 in words is "two billion, three hundred million, thirty-four thousand, one hundred forty-one".

Divisors: 1 3 9 73 219 367 657 1101 3303 9539 26791 28617 80373 85851 241119 696347 2089041 3500813 6267123 10502439 31507317 255559349 766678047 2300034141