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3840804 = 2233115361
BaseRepresentation
bin1110101001101100100100
321020010121000
432221230210
51440401204
6214153300
744434452
oct16515444
97203530
103840804
112193720
121352830
13a46286
1471d9d2
1550d039
hex3a9b24

3840804 has 96 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 1123200.

The previous prime is 3840791. The next prime is 3840821. The reversal of 3840804 is 4080483.

3840804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 62934 + ... + 62994.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 23840804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3840804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

3840804 is an abundant number, since it is smaller than the sum of its proper divisors (7408476).

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

3840804 is a wasteful number, since it uses less digits than its factorization.

3840804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3840804 is about 1959.7969282556. The cubic root of 3840804 is about 156.6056338896.

The spelling of 3840804 in words is "three million, eight hundred forty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 53 54 61 66 99 106 108 122 132 159 183 198 212 244 297 318 366 396 477 549 583 594 636 671 732 954 1098 1166 1188 1342 1431 1647 1749 1908 2013 2196 2332 2684 2862 3233 3294 3498 4026 5247 5724 6039 6466 6588 6996 8052 9699 10494 12078 12932 15741 18117 19398 20988 24156 29097 31482 35563 36234 38796 58194 62964 71126 72468 87291 106689 116388 142252 174582 213378 320067 349164 426756 640134 960201 1280268 1920402 3840804