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2324142405 = 3251333711789
BaseRepresentation
bin1000101010000111…
…1001100101000101
312222222021200000100
42022201321211011
514224440024110
61022342234313
7111410612244
oct21241714505
95888250010
102324142405
11a92a10652
1254a425999
132b0678bc0
1418095495b
15d908ebc0
hex8a879945

2324142405 has 48 divisors (see below), whose sum is σ = 4351641840. Its totient is φ = 1140701184.

The previous prime is 2324142397. The next prime is 2324142419. The reversal of 2324142405 is 5042414232.

2324142405 is a `hidden beast` number, since 2 + 3 + 2 + 414 + 240 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 950550561 + 1373591844 = 30831^2 + 37062^2 .

It is not a de Polignac number, because 2324142405 - 23 = 2324142397 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191251 + ... + 203039.

It is an arithmetic number, because the mean of its divisors is an integer number (90659205).

Almost surely, 22324142405 is an apocalyptic number.

It is an amenable number.

2324142405 is a deficient number, since it is larger than the sum of its proper divisors (2027499435).

2324142405 is a wasteful number, since it uses less digits than its factorization.

2324142405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12150 (or 12147 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2324142405 is about 48209.3601388776. The cubic root of 2324142405 is about 1324.6086239351.

Adding to 2324142405 its reverse (5042414232), we get a palindrome (7366556637).

The spelling of 2324142405 in words is "two billion, three hundred twenty-four million, one hundred forty-two thousand, four hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 337 585 1011 1685 3033 4381 5055 11789 13143 15165 21905 35367 39429 58945 65715 106101 153257 176835 197145 459771 530505 766285 1379313 2298855 3972893 6896565 11918679 19864465 35756037 51647609 59593395 154942827 178780185 258238045 464828481 774714135 2324142405