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3093984 = 25333581
BaseRepresentation
bin1011110011010111100000
312211012011000
423303113200
51243001414
6150152000
735204235
oct13632740
95735130
103093984
111823613
121052600
1384437a
145a778c
15411b09
hex2f35e0

3093984 has 48 divisors (see below), whose sum is σ = 9026640. Its totient is φ = 1031040.

The previous prime is 3093973. The next prime is 3093989. The reversal of 3093984 is 4893903.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3093989) 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, 927 + ... + 2654.

It is an arithmetic number, because the mean of its divisors is an integer number (188055).

Almost surely, 23093984 is an apocalyptic number.

It is an amenable number.

3093984 is an abundant number, since it is smaller than the sum of its proper divisors (5932656).

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

3093984 is a wasteful number, since it uses less digits than its factorization.

3093984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3093984 is about 1758.9724272995. The cubic root of 3093984 is about 145.7155906952.

The spelling of 3093984 in words is "three million, ninety-three thousand, nine hundred eighty-four".

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 3581 7162 10743 14324 21486 28648 32229 42972 57296 64458 85944 96687 114592 128916 171888 193374 257832 343776 386748 515664 773496 1031328 1546992 3093984