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2324189952 = 28327317173
BaseRepresentation
bin1000101010001000…
…0101001100000000
312222222101002020100
42022202011030000
514224443034302
61022343242400
7111411201000
oct21242051400
95888332210
102324189952
11a92a43347
1254a449400
132b0694736
14180968000
15d909dd1c
hex8a885300

2324189952 has 432 divisors, whose sum is σ = 8322350400. Its totient is φ = 621379584.

The previous prime is 2324189897. The next prime is 2324189957. The reversal of 2324189952 is 2599814232.

It is a junction number, because it is equal to n+sod(n) for n = 2324189898 and 2324189907.

It is not an unprimeable number, because it can be changed into a prime (2324189957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13434538 + ... + 13434710.

It is an arithmetic number, because the mean of its divisors is an integer number (19264700).

Almost surely, 22324189952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2324189952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161175200).

2324189952 is an abundant number, since it is smaller than the sum of its proper divisors (5998160448).

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

2324189952 is a wasteful number, since it uses less digits than its factorization.

2324189952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 202 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2324189952 is about 48209.8532667338. The cubic root of 2324189952 is about 1324.6176567633.

The spelling of 2324189952 in words is "two billion, three hundred twenty-four million, one hundred eighty-nine thousand, nine hundred fifty-two".