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3349505250 = 2335372131941
BaseRepresentation
bin1100011110100101…
…0110010011100010
322122102200111102000
43013221112103202
523324433132000
61312211304430
7146001216300
oct30751262342
98572614360
103349505250
111469787963
127958ab116
13414c26490
1423abc5270
151490d1000
hexc7a564e2

3349505250 has 768 divisors, whose sum is σ = 12548390400. Its totient is φ = 653184000.

The previous prime is 3349505233. The next prime is 3349505261. The reversal of 3349505250 is 525059433.

3349505250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-2 number, since 2×33495052502 = 22438370839555125000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 81695230 + ... + 81695270.

It is an arithmetic number, because the mean of its divisors is an integer number (16339050).

Almost surely, 23349505250 is an apocalyptic number.

3349505250 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 3349505250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6274195200).

3349505250 is an abundant number, since it is smaller than the sum of its proper divisors (9198885150).

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

3349505250 is a wasteful number, since it uses less digits than its factorization.

3349505250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 3349505250 is about 57874.9103671012. The cubic root of 3349505250 is about 1496.2134493995.

The spelling of 3349505250 in words is "three billion, three hundred forty-nine million, five hundred five thousand, two hundred fifty".