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2323434240 = 28335233779
BaseRepresentation
bin1000101001111100…
…1100101100000000
312222220221200121000
42022133030230000
514224244343430
61022315132000
7111401602521
oct21237145400
95886850530
102323434240
11a92577596
1254a144000
132b048b77a
1418080c848
15d8e9ee60
hex8a7ccb00

2323434240 has 576 divisors, whose sum is σ = 8947814400. Its totient is φ = 569327616.

The previous prime is 2323434227. The next prime is 2323434257. The reversal of 2323434240 is 424343232.

2323434240 is a `hidden beast` number, since 2 + 3 + 234 + 3 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 29410521 + ... + 29410599.

It is an arithmetic number, because the mean of its divisors is an integer number (15534400).

Almost surely, 22323434240 is an apocalyptic number.

2323434240 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 2323434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4473907200).

2323434240 is an abundant number, since it is smaller than the sum of its proper divisors (6624380160).

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

2323434240 is a wasteful number, since it uses less digits than its factorization.

2323434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 2323434240 is about 48202.0148956452. The cubic root of 2323434240 is about 1324.4740744122.

Adding to 2323434240 its reverse (424343232), we get a palindrome (2747777472).

The spelling of 2323434240 in words is "two billion, three hundred twenty-three million, four hundred thirty-four thousand, two hundred forty".