Search a number
-
+
4102326 = 23523367
BaseRepresentation
bin1111101001100010110110
321201102100000
433221202312
52022233301
6223532130
746604064
oct17514266
97642300
104102326
112352158
12145a046
13b08317
1478b034
15560786
hex3e98b6

4102326 has 48 divisors (see below), whose sum is σ = 9644544. Its totient is φ = 1304424.

The previous prime is 4102291. The next prime is 4102327. The reversal of 4102326 is 6232014.

It is a happy number.

It is a super-2 number, since 2×41023262 = 33658157220552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4102299 and 4102308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10995 + ... + 11361.

It is an arithmetic number, because the mean of its divisors is an integer number (200928).

Almost surely, 24102326 is an apocalyptic number.

4102326 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4822272).

4102326 is an abundant number, since it is smaller than the sum of its proper divisors (5542218).

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

4102326 is a wasteful number, since it uses less digits than its factorization.

4102326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4102326 is about 2025.4199564535. The cubic root of 4102326 is about 160.0823274231.

The spelling of 4102326 in words is "four million, one hundred two thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 367 414 486 621 734 1101 1242 1863 2202 3303 3726 5589 6606 8441 9909 11178 16882 19818 25323 29727 50646 59454 75969 89181 151938 178362 227907 455814 683721 1367442 2051163 4102326