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3083904 = 27322677
BaseRepresentation
bin1011110000111010000000
312210200022200
423300322000
51242141104
6150033200
735132655
oct13607200
95720280
103083904
111816a8a
121048800
1383c8c5
145a3c2c
1540db39
hex2f0e80

3083904 has 48 divisors (see below), whose sum is σ = 8877570. Its totient is φ = 1027584.

The previous prime is 3083891. The next prime is 3083929. The reversal of 3083904 is 4093803.

It can be written as a sum of positive squares in only one way, i.e., 3069504 + 14400 = 1752^2 + 120^2 .

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 187 + ... + 2490.

Almost surely, 23083904 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 3083904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4438785).

3083904 is an abundant number, since it is smaller than the sum of its proper divisors (5793666).

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

3083904 is a wasteful number, since it uses less digits than its factorization.

3083904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3083904 is about 1756.1047804730. The cubic root of 3083904 is about 145.5571745402.

The spelling of 3083904 in words is "three million, eighty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2677 5354 8031 10708 16062 21416 24093 32124 42832 48186 64248 85664 96372 128496 171328 192744 256992 342656 385488 513984 770976 1027968 1541952 3083904