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3876390 = 233572293
BaseRepresentation
bin1110110010011000100110
321021221102000
432302120212
51443021030
6215030130
744643300
oct16623046
97257360
103876390
112208431
12136b346
13a5952b
1472c970
15518860
hex3b2626

3876390 has 96 divisors (see below), whose sum is σ = 12065760. Its totient is φ = 883008.

The previous prime is 3876371. The next prime is 3876403. The reversal of 3876390 is 936783.

3876390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13084 + ... + 13376.

It is an arithmetic number, because the mean of its divisors is an integer number (125685).

Almost surely, 23876390 is an apocalyptic number.

3876390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3876390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032880).

3876390 is an abundant number, since it is smaller than the sum of its proper divisors (8189370).

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

3876390 is a wasteful number, since it uses less digits than its factorization.

3876390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3876390 is about 1968.8549972001. The cubic root of 3876390 is about 157.0878111017.

The spelling of 3876390 in words is "three million, eight hundred seventy-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 293 294 315 378 441 490 586 630 735 879 882 945 1323 1465 1470 1758 1890 2051 2205 2637 2646 2930 4102 4395 4410 5274 6153 6615 7911 8790 10255 12306 13185 13230 14357 15822 18459 20510 26370 28714 30765 36918 39555 43071 55377 61530 71785 79110 86142 92295 110754 129213 143570 184590 215355 258426 276885 387639 430710 553770 646065 775278 1292130 1938195 3876390