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3305088 = 273219151
BaseRepresentation
bin1100100110111010000000
320012220201200
430212322000
51321230323
6154501200
740043553
oct14467200
96186650
103305088
111958186
121134800
138b9497
1462069a
15454443
hex326e80

3305088 has 96 divisors (see below), whose sum is σ = 10077600. Its totient is φ = 1036800.

The previous prime is 3305063. The next prime is 3305111. The reversal of 3305088 is 8805033.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21813 + ... + 21963.

It is an arithmetic number, because the mean of its divisors is an integer number (104975).

Almost surely, 23305088 is an apocalyptic number.

3305088 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3305088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038800).

3305088 is an abundant number, since it is smaller than the sum of its proper divisors (6772512).

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

3305088 is a wasteful number, since it uses less digits than its factorization.

3305088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3305088 is about 1817.9900989829. The cubic root of 3305088 is about 148.9570315870.

Subtracting 3305088 from its reverse (8805033), we obtain a palindrome (5499945).

The spelling of 3305088 in words is "three million, three hundred five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 151 152 171 192 228 288 302 304 342 384 453 456 576 604 608 684 906 912 1152 1208 1216 1359 1368 1812 1824 2416 2432 2718 2736 2869 3624 3648 4832 5436 5472 5738 7248 7296 8607 9664 10872 10944 11476 14496 17214 19328 21744 21888 22952 25821 28992 34428 43488 45904 51642 57984 68856 86976 91808 103284 137712 173952 183616 206568 275424 367232 413136 550848 826272 1101696 1652544 3305088