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3285864 = 233247971
BaseRepresentation
bin1100100010001101101000
320011221100200
430202031220
51320121424
6154232200
736633531
oct14421550
96157320
103285864
11194479a
121125660
138b07ca
14617688
1544d8c9
hex322368

3285864 has 48 divisors (see below), whose sum is σ = 9097920. Its totient is φ = 1070880.

The previous prime is 3285857. The next prime is 3285889. The reversal of 3285864 is 4685823.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3 + 220 + 82 + 59 + 82 + 67 + 46 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2899 + ... + 3869.

It is an arithmetic number, because the mean of its divisors is an integer number (189540).

Almost surely, 23285864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3285864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548960).

3285864 is an abundant number, since it is smaller than the sum of its proper divisors (5812056).

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

3285864 is a wasteful number, since it uses less digits than its factorization.

3285864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1023 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 3285864 is about 1812.6952308648. The cubic root of 3285864 is about 148.6676676408.

The spelling of 3285864 in words is "three million, two hundred eighty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 971 1128 1692 1942 2913 3384 3884 5826 7768 8739 11652 17478 23304 34956 45637 69912 91274 136911 182548 273822 365096 410733 547644 821466 1095288 1642932 3285864