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3384144414 = 233710938191
BaseRepresentation
bin1100100110110101…
…1111001000011110
322201211212100102000
43021231133020132
523412320110124
61315445543130
7146601516150
oct31155371036
98654770360
103384144414
111487296872
127a5414aa6
1341c163c21
14241640ad0
1514c1746c9
hexc9b5f21e

3384144414 has 64 divisors (see below), whose sum is σ = 8603566080. Its totient is φ = 965895840.

The previous prime is 3384144403. The next prime is 3384144427. The reversal of 3384144414 is 4144414833.

It is a super-2 number, since 2×33841444142 = 22904866829614806792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409059 + ... + 417249.

It is an arithmetic number, because the mean of its divisors is an integer number (134430720).

Almost surely, 23384144414 is an apocalyptic number.

3384144414 is an abundant number, since it is smaller than the sum of its proper divisors (5219421666).

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

3384144414 is a wasteful number, since it uses less digits than its factorization.

3384144414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9302 (or 9296 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 3384144414 is about 58173.3995396521. The cubic root of 3384144414 is about 1501.3535063131.

The spelling of 3384144414 in words is "three billion, three hundred eighty-four million, one hundred forty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1093 2186 3279 6558 7651 8191 9837 15302 16382 19674 22953 24573 29511 45906 49146 57337 59022 68859 73719 114674 137718 147438 172011 206577 221157 344022 413154 442314 516033 1032066 1548099 3096198 8952763 17905526 26858289 53716578 62669341 80574867 125338682 161149734 188008023 241724601 376016046 483449202 564024069 1128048138 1692072207 3384144414