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3285750 = 235313337
BaseRepresentation
bin1100100010001011110110
320011221012110
430202023312
51320121000
6154231450
736633306
oct14421366
96157173
103285750
1119446a6
121125586
138b0740
14617606
1544d850
hex3222f6

3285750 has 64 divisors (see below), whose sum is σ = 8858304. Its totient is φ = 806400.

The previous prime is 3285749. The next prime is 3285823. The reversal of 3285750 is 575823.

It is a happy number.

3285750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9582 + ... + 9918.

It is an arithmetic number, because the mean of its divisors is an integer number (138411).

Almost surely, 23285750 is an apocalyptic number.

3285750 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 3285750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429152).

3285750 is an abundant number, since it is smaller than the sum of its proper divisors (5572554).

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

3285750 is a wasteful number, since it uses less digits than its factorization.

3285750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 3285750 is about 1812.6637857032. The cubic root of 3285750 is about 148.6659483254.

It can be divided in two parts, 32 and 85750, that multiplied together give a cube (2744000 = 1403).

The spelling of 3285750 in words is "three million, two hundred eighty-five thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 125 130 150 195 250 325 337 375 390 650 674 750 975 1011 1625 1685 1950 2022 3250 3370 4381 4875 5055 8425 8762 9750 10110 13143 16850 21905 25275 26286 42125 43810 50550 65715 84250 109525 126375 131430 219050 252750 328575 547625 657150 1095250 1642875 3285750