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3285630 = 233543283
BaseRepresentation
bin1100100010001001111110
320011221001000
430202021332
51320120010
6154231130
736633045
oct14421176
96157030
103285630
1119445a7
1211254a6
138b067a
1461755c
1544d7c0
hex32227e

3285630 has 64 divisors (see below), whose sum is σ = 8997120. Its totient is φ = 852768.

The previous prime is 3285593. The next prime is 3285647. The reversal of 3285630 is 365823.

3285630 is a `hidden beast` number, since 3 + 28 + 5 + 630 = 666.

3285630 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 3285594 and 3285603.

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, 11469 + ... + 11751.

It is an arithmetic number, because the mean of its divisors is an integer number (140580).

Almost surely, 23285630 is an apocalyptic number.

3285630 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 3285630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498560).

3285630 is an abundant number, since it is smaller than the sum of its proper divisors (5711490).

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

3285630 is a wasteful number, since it uses less digits than its factorization.

3285630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3285630 is about 1812.6306849438. The cubic root of 3285630 is about 148.6641384767.

The spelling of 3285630 in words is "three million, two hundred eighty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 283 387 430 566 645 774 849 1161 1290 1415 1698 1935 2322 2547 2830 3870 4245 5094 5805 7641 8490 11610 12169 12735 15282 24338 25470 36507 38205 60845 73014 76410 109521 121690 182535 219042 328563 365070 547605 657126 1095210 1642815 3285630