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3840912 = 243317523
BaseRepresentation
bin1110101001101110010000
321020010202000
432221232100
51440402122
6214154000
744434665
oct16515620
97203660
103840912
112193809
121352900
13a4633a
1471da6c
1550d0ac
hex3a9b90

3840912 has 80 divisors (see below), whose sum is σ = 11695680. Its totient is φ = 1202688.

The previous prime is 3840911. The next prime is 3840913. The reversal of 3840912 is 2190483.

3840912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3840911) and next prime (3840913).

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

It is not an unprimeable number, because it can be changed into a prime (3840911) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7083 + ... + 7605.

It is an arithmetic number, because the mean of its divisors is an integer number (146196).

Almost surely, 23840912 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 3840912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5847840).

3840912 is an abundant number, since it is smaller than the sum of its proper divisors (7854768).

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

3840912 is a wasteful number, since it uses less digits than its factorization.

3840912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3840912 is about 1959.8244819371. The cubic root of 3840912 is about 156.6071017463.

The spelling of 3840912 in words is "three million, eight hundred forty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 523 612 816 918 1046 1224 1569 1836 2092 2448 3138 3672 4184 4707 6276 7344 8368 8891 9414 12552 14121 17782 18828 25104 26673 28242 35564 37656 53346 56484 71128 75312 80019 106692 112968 142256 160038 213384 225936 240057 320076 426768 480114 640152 960228 1280304 1920456 3840912