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34320234300 = 223521132337101
BaseRepresentation
bin11111111101101001…
…010011011100111100
310021120211120112200220
4133331221103130330
51030241434444200
623433321421340
72323326115062
oct377551233474
9107524515626
1034320234300
1113611972000
12679993a850
13330c44a561
14193811c032
15d5d0584a0
hex7fda5373c

34320234300 has 576 divisors, whose sum is σ = 118210434048. Its totient is φ = 7666560000.

The previous prime is 34320234281. The next prime is 34320234331. The reversal of 34320234300 is 343202343.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 339804250 + ... + 339804350.

It is an arithmetic number, because the mean of its divisors is an integer number (205226448).

Almost surely, 234320234300 is an apocalyptic number.

34320234300 is a gapful number since it is divisible by the number (30) 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 34320234300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59105217024).

34320234300 is an abundant number, since it is smaller than the sum of its proper divisors (83890199748).

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

34320234300 is a wasteful number, since it uses less digits than its factorization.

34320234300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 34320234300 its reverse (343202343), we get a palindrome (34663436643).

34320234300 divided by its reverse (343202343) gives a square (100 = 102).

The spelling of 34320234300 in words is "thirty-four billion, three hundred twenty million, two hundred thirty-four thousand, three hundred".