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824148134 = 217413111901
BaseRepresentation
bin110001000111111…
…000000010100110
32010102210001200222
4301013320002212
53141440220014
6213440204342
726265100145
oct6107700246
92112701628
10824148134
11393234767
121b00096b2
13101989424
147b65375c
154c54708e
hex311f80a6

824148134 has 32 divisors (see below), whose sum is σ = 1345885632. Its totient is φ = 376960000.

The previous prime is 824148131. The next prime is 824148139. The reversal of 824148134 is 431841428.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 824148094 and 824148103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824148131) 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 15 ways as a sum of consecutive naturals, for example, 432584 + ... + 434484.

It is an arithmetic number, because the mean of its divisors is an integer number (42058926).

Almost surely, 2824148134 is an apocalyptic number.

824148134 is a deficient number, since it is larger than the sum of its proper divisors (521737498).

824148134 is a wasteful number, since it uses less digits than its factorization.

824148134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272.

The product of its digits is 24576, while the sum is 35.

The square root of 824148134 is about 28707.9803190681. The cubic root of 824148134 is about 937.5658062015.

The spelling of 824148134 in words is "eight hundred twenty-four million, one hundred forty-eight thousand, one hundred thirty-four".

Divisors: 1 2 17 34 41 82 311 622 697 1394 1901 3802 5287 10574 12751 25502 32317 64634 77941 155882 216767 433534 591211 1182422 1324997 2649994 10050587 20101174 24239651 48479302 412074067 824148134