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3894840 = 2332531349
BaseRepresentation
bin1110110110111000111000
321022212201100
432312320320
51444113330
6215251400
745051135
oct16667070
97285640
103894840
112220284
121379b60
13a64a51
1473558c
1551e060
hex3b6e38

3894840 has 96 divisors (see below), whose sum is σ = 13104000. Its totient is φ = 1002240.

The previous prime is 3894833. The next prime is 3894857. The reversal of 3894840 is 484983.

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 = 3894795 and 3894804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10986 + ... + 11334.

It is an arithmetic number, because the mean of its divisors is an integer number (136500).

Almost surely, 23894840 is an apocalyptic number.

3894840 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 3894840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552000).

3894840 is an abundant number, since it is smaller than the sum of its proper divisors (9209160).

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

3894840 is a wasteful number, since it uses less digits than its factorization.

3894840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3894840 is about 1973.5348996154. The cubic root of 3894840 is about 157.3366409021.

The spelling of 3894840 in words is "three million, eight hundred ninety-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 349 360 372 465 558 620 698 744 930 1047 1116 1240 1395 1396 1745 1860 2094 2232 2790 2792 3141 3490 3720 4188 5235 5580 6282 6980 8376 10470 10819 11160 12564 13960 15705 20940 21638 25128 31410 32457 41880 43276 54095 62820 64914 86552 97371 108190 125640 129828 162285 194742 216380 259656 324570 389484 432760 486855 649140 778968 973710 1298280 1947420 3894840