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3873220740 = 223959839
BaseRepresentation
bin1110011011011100…
…1010100010000100
3100222221011000000000
43212313022202010
530413021030430
61440200321300
7164660555514
oct34667124204
910887130000
103873220740
111708372084
12901173230
13499592bbc
1428a591844
1517a080e60
hexe6dca884

3873220740 has 120 divisors (see below), whose sum is σ = 12201678720. Its totient is φ = 1032753888.

The previous prime is 3873220733. The next prime is 3873220751. The reversal of 3873220740 is 470223783.

3873220740 is a `hidden beast` number, since 387 + 32 + 207 + 40 = 666.

It is a super-2 number, since 2×38732207402 = 30003677801532295200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3873220695 and 3873220704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 388741 + ... + 398579.

It is an arithmetic number, because the mean of its divisors is an integer number (101680656).

Almost surely, 23873220740 is an apocalyptic number.

3873220740 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 3873220740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6100839360).

3873220740 is an abundant number, since it is smaller than the sum of its proper divisors (8328457980).

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

3873220740 is an frugal number, since it uses more digits than its factorization.

3873220740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9875 (or 9849 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3873220740 is about 62235.2049888164. The cubic root of 3873220740 is about 1570.4498879750.

The spelling of 3873220740 in words is "three billion, eight hundred seventy-three million, two hundred twenty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2187 2430 2916 3645 4374 4860 6561 7290 8748 9839 10935 13122 14580 19678 19683 21870 26244 29517 32805 39356 39366 43740 49195 59034 65610 78732 88551 98390 98415 118068 131220 147585 177102 196780 196830 265653 295170 354204 393660 442755 531306 590340 796959 885510 1062612 1328265 1593918 1771020 2390877 2656530 3187836 3984795 4781754 5313060 7172631 7969590 9563508 11954385 14345262 15939180 21517893 23908770 28690524 35863155 43035786 47817540 64553679 71726310 86071572 107589465 129107358 143452620 193661037 215178930 258214716 322768395 387322074 430357860 645536790 774644148 968305185 1291073580 1936610370 3873220740