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3840876 = 22321329283
BaseRepresentation
bin1110101001101101101100
321020010200200
432221231230
51440402001
6214153500
744434614
oct16515554
97203620
103840876
112193786
121352890
13a46310
1471da44
1550d086
hex3a9b6c

3840876 has 72 divisors (see below), whose sum is σ = 10854480. Its totient is φ = 1137024.

The previous prime is 3840853. The next prime is 3840911. The reversal of 3840876 is 6780483.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3840876.

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, 13431 + ... + 13713.

Almost surely, 23840876 is an apocalyptic number.

3840876 is a gapful number since it is divisible by the number (36) 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 3840876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5427240).

3840876 is an abundant number, since it is smaller than the sum of its proper divisors (7013604).

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

3840876 is a wasteful number, since it uses less digits than its factorization.

3840876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3840876 is about 1959.8152974196. The cubic root of 3840876 is about 156.6066124638.

The spelling of 3840876 in words is "three million, eight hundred forty thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 283 348 377 468 522 566 754 849 1044 1131 1132 1508 1698 2262 2547 3393 3396 3679 4524 5094 6786 7358 8207 10188 11037 13572 14716 16414 22074 24621 32828 33111 44148 49242 66222 73863 98484 106691 132444 147726 213382 295452 320073 426764 640146 960219 1280292 1920438 3840876