Search a number
-
+
3418668 = 2232118997
BaseRepresentation
bin1101000010101000101100
320102200112100
431002220230
51333344133
6201135100
741025651
oct15025054
96380470
103418668
111a25550
12118a490
139290a6
1464dc28
15477e13
hex342a2c

3418668 has 72 divisors (see below), whose sum is σ = 9631440. Its totient is φ = 1013760.

The previous prime is 3418661. The next prime is 3418669. The reversal of 3418668 is 8668143.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3418661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35196 + ... + 35292.

It is an arithmetic number, because the mean of its divisors is an integer number (133770).

Almost surely, 23418668 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 3418668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815720).

3418668 is an abundant number, since it is smaller than the sum of its proper divisors (6212772).

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

3418668 is a wasteful number, since it uses less digits than its factorization.

3418668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 202 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 3418668 is about 1848.9640342635. The cubic root of 3418668 is about 150.6441630664.

It can be divided in two parts, 341 and 8668, that added together give a palindrome (9009).

The spelling of 3418668 in words is "three million, four hundred eighteen thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 89 97 99 132 178 194 198 267 291 356 388 396 534 582 801 873 979 1067 1068 1164 1602 1746 1958 2134 2937 3201 3204 3492 3916 4268 5874 6402 8633 8811 9603 11748 12804 17266 17622 19206 25899 34532 35244 38412 51798 77697 94963 103596 155394 189926 284889 310788 379852 569778 854667 1139556 1709334 3418668