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34348947360 = 25357133125367
BaseRepresentation
bin11111111111010110…
…110101011110100000
310021122211121022121120
4133333112311132200
51030321312303420
623440225052240
72324125143450
oct377726653640
9107584538546
1034348947360
11136270a3602
1267a7487080
133315391830
14193bc73d60
15d6082ad40
hex7ff5b57a0

34348947360 has 384 divisors, whose sum is σ = 137469394944. Its totient is φ = 7013191680.

The previous prime is 34348947343. The next prime is 34348947371. The reversal of 34348947360 is 6374984343.

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 63 ways as a sum of consecutive naturals, for example, 1341397 + ... + 1366763.

It is an arithmetic number, because the mean of its divisors is an integer number (357993216).

Almost surely, 234348947360 is an apocalyptic number.

34348947360 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 34348947360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68734697472).

34348947360 is an abundant number, since it is smaller than the sum of its proper divisors (103120447584).

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

34348947360 is a wasteful number, since it uses less digits than its factorization.

34348947360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25436 (or 25428 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 51.

The spelling of 34348947360 in words is "thirty-four billion, three hundred forty-eight million, nine hundred forty-seven thousand, three hundred sixty".