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3345885180 = 223251119231151
BaseRepresentation
bin1100011101101110…
…0010011111111100
322122011212120121100
43013123202133330
523323021311210
61312001533100
7145625361201
oct30733423774
98564776540
103345885180
111467735070
12794644190
13414259821
1423a521ca8
15148b185c0
hexc76e27fc

3345885180 has 432 divisors, whose sum is σ = 12142061568. Its totient is φ = 738720000.

The previous prime is 3345885163. The next prime is 3345885203. The reversal of 3345885180 is 815885433.

It is a super-2 number, since 2×33458851802 = 22389895275487264800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22158105 + ... + 22158255.

It is an arithmetic number, because the mean of its divisors is an integer number (28106624).

Almost surely, 23345885180 is an apocalyptic number.

3345885180 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 3345885180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071030784).

3345885180 is an abundant number, since it is smaller than the sum of its proper divisors (8796176388).

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

3345885180 is a wasteful number, since it uses less digits than its factorization.

3345885180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 3345885180 is about 57843.6269609712. The cubic root of 3345885180 is about 1495.6742304705.

The spelling of 3345885180 in words is "three billion, three hundred forty-five million, eight hundred eighty-five thousand, one hundred eighty".