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3228888 = 2331379131
BaseRepresentation
bin1100010100010011011000
320002001012110
430110103120
51311311023
6153112320
736305445
oct14242330
96061173
103228888
111905a03
1210b86a0
138908b0
146009cc
1543ba93
hex3144d8

3228888 has 64 divisors (see below), whose sum is σ = 8870400. Its totient is φ = 973440.

The previous prime is 3228887. The next prime is 3228899. The reversal of 3228888 is 8888223.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3228887) 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, 24583 + ... + 24713.

It is an arithmetic number, because the mean of its divisors is an integer number (138600).

Almost surely, 23228888 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 3228888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435200).

3228888 is an abundant number, since it is smaller than the sum of its proper divisors (5641512).

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

3228888 is a wasteful number, since it uses less digits than its factorization.

3228888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 3228888 is about 1796.9106822544. The cubic root of 3228888 is about 147.8033668206.

It can be divided in two parts, 32 and 28888, that added together give a triangular number (28920 = T240).

The spelling of 3228888 in words is "three million, two hundred twenty-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 131 156 158 237 262 312 316 393 474 524 632 786 948 1027 1048 1572 1703 1896 2054 3081 3144 3406 4108 5109 6162 6812 8216 10218 10349 12324 13624 20436 20698 24648 31047 40872 41396 62094 82792 124188 134537 248376 269074 403611 538148 807222 1076296 1614444 3228888