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3381111240 = 2335138326113
BaseRepresentation
bin1100100110000111…
…1010100111001000
322201122011020200020
43021201322213020
523411031024430
61315300540440
7146533654113
oct31141724710
98648136606
103381111240
111485604a11
127a43b1720
1341b641450
1424109157a
1514bc75b10
hexc987a9c8

3381111240 has 128 divisors (see below), whose sum is σ = 11055623040. Its totient is φ = 822214656.

The previous prime is 3381111229. The next prime is 3381111271. The reversal of 3381111240 is 421111833.

It is a super-2 number, since 2×33811112402 = 22863826434508675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3381111240.

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, 116424 + ... + 142536.

It is an arithmetic number, because the mean of its divisors is an integer number (86372055).

Almost surely, 23381111240 is an apocalyptic number.

3381111240 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 3381111240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527811520).

3381111240 is an abundant number, since it is smaller than the sum of its proper divisors (7674511800).

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

3381111240 is a wasteful number, since it uses less digits than its factorization.

3381111240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26223 (or 26219 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 3381111240 is about 58147.3235841513. The cubic root of 3381111240 is about 1500.9048229761.

The spelling of 3381111240 in words is "three billion, three hundred eighty-one million, one hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 83 104 120 130 156 166 195 249 260 312 332 390 415 498 520 664 780 830 996 1079 1245 1560 1660 1992 2158 2490 3237 3320 4316 4980 5395 6474 8632 9960 10790 12948 16185 21580 25896 26113 32370 43160 52226 64740 78339 104452 129480 130565 156678 208904 261130 313356 339469 391695 522260 626712 678938 783390 1018407 1044520 1357876 1566780 1697345 2036814 2167379 2715752 3133560 3394690 4073628 4334758 5092035 6502137 6789380 8147256 8669516 10184070 10836895 13004274 13578760 17339032 20368140 21673790 26008548 28175927 32510685 40736280 43347580 52017096 56351854 65021370 84527781 86695160 112703708 130042740 140879635 169055562 225407416 260085480 281759270 338111124 422638905 563518540 676222248 845277810 1127037080 1690555620 3381111240