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4322340000 = 253254113759
BaseRepresentation
bin1000000011010000…
…11010110010100000
3102011020020121210200
410001220122302200
532323004340000
61552522425200
7212053166226
oct40150326240
912136217720
104322340000
111918937020
12a07662200
1353b641a44
142d00a0b16
151a46e8500
hex101a1aca0

4322340000 has 720 divisors, whose sum is σ = 17500523040. Its totient is φ = 1002240000.

The previous prime is 4322339993. The next prime is 4322340017. The reversal of 4322340000 is 432234.

4322340000 is a `hidden beast` number, since 4 + 322 + 340 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 73259971 + ... + 73260029.

It is an arithmetic number, because the mean of its divisors is an integer number (24306282).

Almost surely, 24322340000 is an apocalyptic number.

4322340000 is a gapful number since it is divisible by the number (40) 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 4322340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8750261520).

4322340000 is an abundant number, since it is smaller than the sum of its proper divisors (13178183040).

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

4322340000 is a wasteful number, since it uses less digits than its factorization.

4322340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4322340000 is about 65744.5054738417. The cubic root of 4322340000 is about 1628.9445787869.

Adding to 4322340000 its reverse (432234), we get a palindrome (4322772234).

4322340000 divided by its reverse (432234) gives a 4-th power (10000 = 104).

It can be divided in two parts, 432 and 2340000, that added together give a palindrome (2340432).

The spelling of 4322340000 in words is "four billion, three hundred twenty-two million, three hundred forty thousand".