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3796384 = 25314389
BaseRepresentation
bin1110011110110110100000
321010212122211
432132312200
51432441014
6213211504
744161114
oct16366640
97125584
103796384
112163309
121330b94
13a2bca7
1470b744
154eecc4
hex39eda0

3796384 has 48 divisors (see below), whose sum is σ = 7983360. Its totient is φ = 1774080.

The previous prime is 3796379. The next prime is 3796391. The reversal of 3796384 is 4836973.

It is a d-powerful number, because it can be written as 33 + 76 + 96 + 64 + 35 + 87 + 410 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42612 + ... + 42700.

It is an arithmetic number, because the mean of its divisors is an integer number (166320).

Almost surely, 23796384 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 3796384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991680).

3796384 is an abundant number, since it is smaller than the sum of its proper divisors (4186976).

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

3796384 is a wasteful number, since it uses less digits than its factorization.

3796384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its digits is 108864, while the sum is 40.

The square root of 3796384 is about 1948.4311637828. The cubic root of 3796384 is about 155.9995616906. Note that the first 3 decimals are identical.

The spelling of 3796384 in words is "three million, seven hundred ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 43 62 86 89 124 172 178 248 344 356 496 688 712 992 1333 1376 1424 2666 2759 2848 3827 5332 5518 7654 10664 11036 15308 21328 22072 30616 42656 44144 61232 88288 118637 122464 237274 474548 949096 1898192 3796384