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3873312 = 25334483
BaseRepresentation
bin1110110001101000100000
321021210012000
432301220200
51442421222
6215004000
744631312
oct16615040
97253160
103873312
112206093
121369600
13a58001
1472b7b2
155179ac
hex3b1a20

3873312 has 48 divisors (see below), whose sum is σ = 11299680. Its totient is φ = 1290816.

The previous prime is 3873299. The next prime is 3873313. The reversal of 3873312 is 2133783.

It is a tau number, because it is divible by the number of its divisors (48).

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 (3873313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1378 + ... + 3105.

It is an arithmetic number, because the mean of its divisors is an integer number (235410).

Almost surely, 23873312 is an apocalyptic number.

3873312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3873312 is an abundant number, since it is smaller than the sum of its proper divisors (7426368).

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

3873312 is a wasteful number, since it uses less digits than its factorization.

3873312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502 (or 4488 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 3873312 is about 1968.0731693715. The cubic root of 3873312 is about 157.0462222080.

The spelling of 3873312 in words is "three million, eight hundred seventy-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4483 8966 13449 17932 26898 35864 40347 53796 71728 80694 107592 121041 143456 161388 215184 242082 322776 430368 484164 645552 968328 1291104 1936656 3873312