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4106322 = 2331131223
BaseRepresentation
bin1111101010100001010010
321201121211000
433222201102
52022400242
6224002430
746621533
oct17524122
97647730
104106322
112355160
121460416
13b0a09c
1478c68a
15561a4c
hex3ea852

4106322 has 64 divisors (see below), whose sum is σ = 10321920. Its totient is φ = 1198800.

The previous prime is 4106321. The next prime is 4106327. The reversal of 4106322 is 2236014.

It is a happy number.

4106322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 = 4106295 and 4106304.

It is not an unprimeable number, because it can be changed into a prime (4106321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18303 + ... + 18525.

It is an arithmetic number, because the mean of its divisors is an integer number (161280).

Almost surely, 24106322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4106322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160960).

4106322 is an abundant number, since it is smaller than the sum of its proper divisors (6215598).

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

4106322 is a wasteful number, since it uses less digits than its factorization.

4106322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 270 counting only the distinct ones).

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

The square root of 4106322 is about 2026.4061784351. The cubic root of 4106322 is about 160.1342883017.

The spelling of 4106322 in words is "four million, one hundred six thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 223 279 297 341 446 558 594 669 682 837 1023 1338 1674 2007 2046 2453 3069 4014 4906 6021 6138 6913 7359 9207 12042 13826 14718 18414 20739 22077 41478 44154 62217 66231 76043 124434 132462 152086 186651 228129 373302 456258 684387 1368774 2053161 4106322