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3884976 = 243317232
BaseRepresentation
bin1110110100011110110000
321022101012000
432310132300
51443304401
6215134000
745010314
oct16643660
97271160
103884976
112213927
121374300
13a60404
14731b44
1551b186
hex3b47b0

3884976 has 120 divisors (see below), whose sum is σ = 12342960. Its totient is φ = 1165824.

The previous prime is 3884929. The next prime is 3884977. The reversal of 3884976 is 6794883.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3884977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168901 + ... + 168923.

It is an arithmetic number, because the mean of its divisors is an integer number (102858).

Almost surely, 23884976 is an apocalyptic number.

3884976 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 3884976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171480).

3884976 is an abundant number, since it is smaller than the sum of its proper divisors (8457984).

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

3884976 is a wasteful number, since it uses less digits than its factorization.

3884976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 45 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3884976 is about 1971.0342462778. The cubic root of 3884976 is about 157.2037059904.

The spelling of 3884976 in words is "three million, eight hundred eighty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 27 34 36 46 48 51 54 68 69 72 92 102 108 136 138 144 153 184 204 207 216 272 276 306 368 391 408 414 432 459 529 552 612 621 782 816 828 918 1058 1104 1173 1224 1242 1564 1587 1656 1836 2116 2346 2448 2484 3128 3174 3312 3519 3672 4232 4692 4761 4968 6256 6348 7038 7344 8464 8993 9384 9522 9936 10557 12696 14076 14283 17986 18768 19044 21114 25392 26979 28152 28566 35972 38088 42228 53958 56304 57132 71944 76176 80937 84456 107916 114264 143888 161874 168912 215832 228528 242811 323748 431664 485622 647496 971244 1294992 1942488 3884976