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34203330304 = 28111347103193
BaseRepresentation
bin11111110110101011…
…010110011100000000
310021021200121012120021
4133312223112130000
51030022023032204
623413544023224
72320406340103
oct376653263400
9107250535507
1034203330304
1113561985330
126766761b14
1332c11688b0
1419267aa73a
15d52b65154
hex7f6ad6700

34203330304 has 288 divisors, whose sum is σ = 83139323904. Its totient is φ = 13837271040.

The previous prime is 34203330277. The next prime is 34203330361. The reversal of 34203330304 is 40303330243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177219232 + ... + 177219424.

It is an arithmetic number, because the mean of its divisors is an integer number (288678208).

Almost surely, 234203330304 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 34203330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41569661952).

34203330304 is an abundant number, since it is smaller than the sum of its proper divisors (48935993600).

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

34203330304 is a wasteful number, since it uses less digits than its factorization.

34203330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 25.

Adding to 34203330304 its reverse (40303330243), we get a palindrome (74506660547).

The spelling of 34203330304 in words is "thirty-four billion, two hundred three million, three hundred thirty thousand, three hundred four".