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3283890 = 2351747137
BaseRepresentation
bin1100100001101110110010
320011211122120
430201232302
51320041030
6154215110
736625011
oct14415662
96154576
103283890
111943265
121124496
138ac93c
14616a78
1544d010
hex321bb2

3283890 has 64 divisors (see below), whose sum is σ = 8584704. Its totient is φ = 800768.

The previous prime is 3283879. The next prime is 3283897. The reversal of 3283890 is 983823.

3283890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3283897) 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 31 ways as a sum of consecutive naturals, for example, 23902 + ... + 24038.

It is an arithmetic number, because the mean of its divisors is an integer number (134136).

Almost surely, 23283890 is an apocalyptic number.

3283890 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 3283890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292352).

3283890 is an abundant number, since it is smaller than the sum of its proper divisors (5300814).

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

3283890 is a wasteful number, since it uses less digits than its factorization.

3283890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3283890 is about 1812.1506559886. The cubic root of 3283890 is about 148.6378907172.

The spelling of 3283890 in words is "three million, two hundred eighty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 47 51 85 94 102 137 141 170 235 255 274 282 411 470 510 685 705 799 822 1370 1410 1598 2055 2329 2397 3995 4110 4658 4794 6439 6987 7990 11645 11985 12878 13974 19317 23290 23970 32195 34935 38634 64390 69870 96585 109463 193170 218926 328389 547315 656778 1094630 1641945 3283890