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2323134000 = 243353113911
BaseRepresentation
bin1000101001111000…
…0011011000110000
312222220101102202000
42022132003120300
514224210242000
61022304454000
7111366212265
oct21236033060
95886342660
102323134000
11a92391a60
1254a01a300
132b03b4c05
1418077126c
15d8e41000
hex8a783630

2323134000 has 320 divisors, whose sum is σ = 9080847360. Its totient is φ = 563040000.

The previous prime is 2323133999. The next prime is 2323134013. The reversal of 2323134000 is 4313232.

2323134000 is a `hidden beast` number, since 2 + 323 + 1 + 340 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 63 ways as a sum of consecutive naturals, for example, 592045 + ... + 595955.

It is an arithmetic number, because the mean of its divisors is an integer number (28377648).

Almost surely, 22323134000 is an apocalyptic number.

2323134000 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 2323134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540423680).

2323134000 is an abundant number, since it is smaller than the sum of its proper divisors (6757713360).

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

2323134000 is a wasteful number, since it uses less digits than its factorization.

2323134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2323134000 is about 48198.9004023951. The cubic root of 2323134000 is about 1324.4170213339.

Adding to 2323134000 its reverse (4313232), we get a palindrome (2327447232).

The spelling of 2323134000 in words is "two billion, three hundred twenty-three million, one hundred thirty-four thousand".