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2324416020 = 2235471018161
BaseRepresentation
bin1000101010001011…
…1100011000010100
312222222210120100020
42022202330120110
514230022303040
61022352145140
7111413132043
oct21242743024
95888716306
102324416020
11a93088183
1254a5381b0
132b07435c4
141809c655a
15d90e5cd0
hex8a8bc614

2324416020 has 96 divisors (see below), whose sum is σ = 6713473536. Its totient is φ = 600576000.

The previous prime is 2324416019. The next prime is 2324416043. The reversal of 2324416020 is 206144232.

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, 280740 + ... + 288900.

It is an arithmetic number, because the mean of its divisors is an integer number (69932016).

Almost surely, 22324416020 is an apocalyptic number.

2324416020 is a gapful number since it is divisible by the number (20) 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 2324416020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356736768).

2324416020 is an abundant number, since it is smaller than the sum of its proper divisors (4389057516).

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

2324416020 is a wasteful number, since it uses less digits than its factorization.

2324416020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8321 (or 8319 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2324416020 is about 48212.1978341581. The cubic root of 2324416020 is about 1324.6606027591.

The spelling of 2324416020 in words is "two billion, three hundred twenty-four million, four hundred sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 101 141 188 202 235 282 303 404 470 505 564 606 705 940 1010 1212 1410 1515 2020 2820 3030 4747 6060 8161 9494 14241 16322 18988 23735 24483 28482 32644 40805 47470 48966 56964 71205 81610 94940 97932 122415 142410 163220 244830 284820 383567 489660 767134 824261 1150701 1534268 1648522 1917835 2301402 2472783 3297044 3835670 4121305 4602804 4945566 5753505 7671340 8242610 9891132 11507010 12363915 16485220 23014020 24727830 38740267 49455660 77480534 116220801 154961068 193701335 232441602 387402670 464883204 581104005 774805340 1162208010 2324416020