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2324213424 = 2432132574831
BaseRepresentation
bin1000101010001000…
…1010111010110000
312222222102021102200
42022202022322300
514224444312144
61022343543200
7111411326301
oct21242127260
95888367380
102324213424
11a92a59a45
1254a45ab00
132b06a2320
141809727a8
15d90a5c69
hex8a88aeb0

2324213424 has 120 divisors (see below), whose sum is σ = 7033633152. Its totient is φ = 712212480.

The previous prime is 2324213401. The next prime is 2324213443. The reversal of 2324213424 is 4243124232.

2324213424 is a `hidden beast` number, since 2 + 3 + 24 + 213 + 424 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 478689 + ... + 483519.

Almost surely, 22324213424 is an apocalyptic number.

2324213424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2324213424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516816576).

2324213424 is an abundant number, since it is smaller than the sum of its proper divisors (4709419728).

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

2324213424 is a wasteful number, since it uses less digits than its factorization.

2324213424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5115 (or 5106 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 2324213424 is about 48210.0967018321. The cubic root of 2324213424 is about 1324.6221158539.

Adding to 2324213424 its reverse (4243124232), we get a palindrome (6567337656).

The spelling of 2324213424 in words is "two billion, three hundred twenty-four million, two hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 257 312 468 514 624 771 936 1028 1542 1872 2056 2313 3084 3341 4112 4626 4831 6168 6682 9252 9662 10023 12336 13364 14493 18504 19324 20046 26728 28986 30069 37008 38648 40092 43479 53456 57972 60138 62803 77296 80184 86958 115944 120276 125606 160368 173916 188409 231888 240552 251212 347832 376818 481104 502424 565227 695664 753636 1004848 1130454 1241567 1507272 2260908 2483134 3014544 3724701 4521816 4966268 7449402 9043632 9932536 11174103 14898804 16140371 19865072 22348206 29797608 32280742 44696412 48421113 59595216 64561484 89392824 96842226 129122968 145263339 178785648 193684452 258245936 290526678 387368904 581053356 774737808 1162106712 2324213424