Search a number
-
+
3278664 = 233343353
BaseRepresentation
bin1100100000011101001000
320011120111000
430200131020
51314404124
6154135000
736603534
oct14403510
96146430
103278664
11193a344
121121460
138aa44c
14614bc4
1544b6c9
hex320748

3278664 has 64 divisors (see below), whose sum is σ = 9345600. Its totient is φ = 1064448.

The previous prime is 3278651. The next prime is 3278669. The reversal of 3278664 is 4668723.

It is a super-3 number, since 3×32786643 (a number of 21 digits) contains 333 as substring.

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 313 + 25 + 72 + 83 + 62 + 68 + 46 .

It is not an unprimeable number, because it can be changed into a prime (3278669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9112 + ... + 9464.

It is an arithmetic number, because the mean of its divisors is an integer number (146025).

Almost surely, 23278664 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 3278664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672800).

3278664 is an abundant number, since it is smaller than the sum of its proper divisors (6066936).

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

3278664 is a wasteful number, since it uses less digits than its factorization.

3278664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 401 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3278664 is about 1810.7081487639. The cubic root of 3278664 is about 148.5590011442.

The spelling of 3278664 in words is "three million, two hundred seventy-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 353 387 516 706 774 1032 1059 1161 1412 1548 2118 2322 2824 3096 3177 4236 4644 6354 8472 9288 9531 12708 15179 19062 25416 30358 38124 45537 60716 76248 91074 121432 136611 182148 273222 364296 409833 546444 819666 1092888 1639332 3278664