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3043872 = 253313271
BaseRepresentation
bin1011100111001000100000
312201122102000
423213020200
51234400442
6145124000
734605156
oct13471040
95648360
103043872
1117999a7
121029600
13827610
145933d6
15401d4c
hex2e7220

3043872 has 96 divisors (see below), whose sum is σ = 9596160. Its totient is φ = 933120.

The previous prime is 3043871. The next prime is 3043883. The reversal of 3043872 is 2783403.

It is a tau number, because it is divible by the number of its divisors (96).

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 (3043871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11097 + ... + 11367.

It is an arithmetic number, because the mean of its divisors is an integer number (99960).

Almost surely, 23043872 is an apocalyptic number.

3043872 is a gapful number since it is divisible by the number (32) 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 3043872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798080).

3043872 is an abundant number, since it is smaller than the sum of its proper divisors (6552288).

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

3043872 is a wasteful number, since it uses less digits than its factorization.

3043872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3043872 is about 1744.6695962273. The cubic root of 3043872 is about 144.9246060687.

The spelling of 3043872 in words is "three million, forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 271 288 312 351 416 432 468 542 624 702 813 864 936 1084 1248 1404 1626 1872 2168 2439 2808 3252 3523 3744 4336 4878 5616 6504 7046 7317 8672 9756 10569 11232 13008 14092 14634 19512 21138 26016 28184 29268 31707 39024 42276 56368 58536 63414 78048 84552 95121 112736 117072 126828 169104 190242 234144 253656 338208 380484 507312 760968 1014624 1521936 3043872