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3721984 = 2873167
BaseRepresentation
bin1110001100101100000000
321000002121021
432030230000
51423100414
6211435224
743431160
oct16145400
97002537
103721984
112112422
1212b5b14
13a04176
146cc5a0
154d7c24
hex38cb00

3721984 has 72 divisors (see below), whose sum is σ = 8895488. Its totient is φ = 1520640.

The previous prime is 3721981. The next prime is 3722009. The reversal of 3721984 is 4891273.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3721981) 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, 55519 + ... + 55585.

Almost surely, 23721984 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 3721984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447744).

3721984 is an abundant number, since it is smaller than the sum of its proper divisors (5173504).

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

3721984 is an equidigital number, since it uses as much as digits as its factorization.

3721984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 3721984 is about 1929.2444116804. The cubic root of 3721984 is about 154.9737589986.

The spelling of 3721984 in words is "three million, seven hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 67 112 124 128 134 217 224 248 256 268 434 448 469 496 536 868 896 938 992 1072 1736 1792 1876 1984 2077 2144 3472 3752 3968 4154 4288 6944 7504 7936 8308 8576 13888 14539 15008 16616 17152 27776 29078 30016 33232 55552 58156 60032 66464 116312 120064 132928 232624 265856 465248 531712 930496 1860992 3721984