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3085290 = 234513293
BaseRepresentation
bin1011110001001111101010
312210202020000
423301033222
51242212130
6150043430
735140005
oct13611752
95722200
103085290
11181802a
121049576
13840420
145a453c
1540e260
hex2f13ea

3085290 has 80 divisors (see below), whose sum is σ = 8964648. Its totient is φ = 756864.

The previous prime is 3085273. The next prime is 3085297. The reversal of 3085290 is 925803.

It can be written as a sum of positive squares in 4 ways, for example, as 2653641 + 431649 = 1629^2 + 657^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3085297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10384 + ... + 10676.

Almost surely, 23085290 is an apocalyptic number.

3085290 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 3085290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482324).

3085290 is an abundant number, since it is smaller than the sum of its proper divisors (5879358).

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

3085290 is a wasteful number, since it uses less digits than its factorization.

3085290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3085290 is about 1756.4993595217. The cubic root of 3085290 is about 145.5789772107.

It can be divided in two parts, 3085 and 290, that added together give a cube (3375 = 153).

The spelling of 3085290 in words is "three million, eighty-five thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 293 351 390 405 585 586 702 810 879 1053 1170 1465 1755 1758 2106 2637 2930 3510 3809 4395 5265 5274 7618 7911 8790 10530 11427 13185 15822 19045 22854 23733 26370 34281 38090 39555 47466 57135 68562 79110 102843 114270 118665 171405 205686 237330 308529 342810 514215 617058 1028430 1542645 3085290