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2324213304 = 23371932017
BaseRepresentation
bin1000101010001000…
…1010111000111000
312222222102021021020
42022202022320320
514224444311204
61022343542440
7111411326040
oct21242127070
95888367236
102324213304
11a92a59946
1254a45aa20
132b06a225a
14180972720
15d90a5bd9
hex8a88ae38

2324213304 has 128 divisors (see below), whose sum is σ = 7012953600. Its totient is φ = 628798464.

The previous prime is 2324213299. The next prime is 2324213321. The reversal of 2324213304 is 4033124232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1151304 + ... + 1153320.

It is an arithmetic number, because the mean of its divisors is an integer number (54788700).

Almost surely, 22324213304 is an apocalyptic number.

2324213304 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 2324213304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506476800).

2324213304 is an abundant number, since it is smaller than the sum of its proper divisors (4688740296).

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

2324213304 is a wasteful number, since it uses less digits than its factorization.

2324213304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2324213304 is about 48210.0954572795. The cubic root of 2324213304 is about 1324.6220930570.

Adding to 2324213304 its reverse (4033124232), we get a palindrome (6357337536).

The spelling of 2324213304 in words is "two billion, three hundred twenty-four million, two hundred thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 361 399 456 532 722 798 1064 1083 1444 1596 2017 2166 2527 2888 3192 4034 4332 5054 6051 6859 7581 8068 8664 10108 12102 13718 14119 15162 16136 20216 20577 24204 27436 28238 30324 38323 41154 42357 48013 48408 54872 56476 60648 76646 82308 84714 96026 112952 114969 144039 153292 164616 169428 192052 229938 268261 288078 306584 338856 384104 459876 536522 576156 728137 804783 919752 1073044 1152312 1456274 1609566 2146088 2184411 2912548 3219132 4368822 5096959 5825096 6438264 8737644 10193918 13834603 15290877 17475288 20387836 27669206 30581754 40775672 41503809 55338412 61163508 83007618 96842221 110676824 122327016 166015236 193684442 290526663 332030472 387368884 581053326 774737768 1162106652 2324213304