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3305250 = 2325313113
BaseRepresentation
bin1100100110111100100010
320012220221200
430212330202
51321232000
6154502030
740044204
oct14467442
96186850
103305250
111958313
121134916
138b9590
14620774
15454500
hex326f22

3305250 has 96 divisors (see below), whose sum is σ = 9710064. Its totient is φ = 806400.

The previous prime is 3305249. The next prime is 3305257. The reversal of 3305250 is 525033.

3305250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 370881 + 2934369 = 609^2 + 1713^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3305257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29194 + ... + 29306.

Almost surely, 23305250 is an apocalyptic number.

3305250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3305250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855032).

3305250 is an abundant number, since it is smaller than the sum of its proper divisors (6404814).

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

3305250 is a wasteful number, since it uses less digits than its factorization.

3305250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 3305250 is about 1818.0346531351. The cubic root of 3305250 is about 148.9594652736.

The spelling of 3305250 in words is "three million, three hundred five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 113 117 125 130 150 195 225 226 234 250 325 339 375 390 450 565 585 650 678 750 975 1017 1125 1130 1170 1469 1625 1695 1950 2034 2250 2825 2925 2938 3250 3390 4407 4875 5085 5650 5850 7345 8475 8814 9750 10170 13221 14125 14625 14690 16950 22035 25425 26442 28250 29250 36725 42375 44070 50850 66105 73450 84750 110175 127125 132210 183625 220350 254250 330525 367250 550875 661050 1101750 1652625 3305250