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34345255350 = 23527297315451
BaseRepresentation
bin11111111111001000…
…110000000110110110
310021122120122202010110
4133333020300012312
51030314341132400
623440014003450
72324051565540
oct377710600666
9107576582113
1034345255350
111362500175a
1267a61a6586
13331469b203
14193b592690
15d6034be50
hex7ff2301b6

34345255350 has 192 divisors, whose sum is σ = 102087037440. Its totient is φ = 7475328000.

The previous prime is 34345255339. The next prime is 34345255387. The reversal of 34345255350 is 5355254343.

It is a junction number, because it is equal to n+sod(n) for n = 34345255299 and 34345255308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2215125 + ... + 2230575.

It is an arithmetic number, because the mean of its divisors is an integer number (531703320).

Almost surely, 234345255350 is an apocalyptic number.

34345255350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34345255350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51043518720).

34345255350 is an abundant number, since it is smaller than the sum of its proper divisors (67741782090).

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

34345255350 is a wasteful number, since it uses less digits than its factorization.

34345255350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15575 (or 15570 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 39.

The spelling of 34345255350 in words is "thirty-four billion, three hundred forty-five million, two hundred fifty-five thousand, three hundred fifty".