Search a number
-
+
12042342 = 2321353971
BaseRepresentation
bin101101111100…
…000001100110
3211122210222200
4231330001212
511040323332
61110035330
7204233604
oct55740146
924583880
1012042342
116885654
124048b46
132658360
141856874
1510cd17c
hexb7c066

12042342 has 48 divisors (see below), whose sum is σ = 28658448. Its totient is φ = 3631680.

The previous prime is 12042319. The next prime is 12042343. The reversal of 12042342 is 24324021.

12042342 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042343) 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, 11917 + ... + 12887.

It is an arithmetic number, because the mean of its divisors is an integer number (597051).

Almost surely, 212042342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12042342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14329224).

12042342 is an abundant number, since it is smaller than the sum of its proper divisors (16616106).

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

12042342 is a wasteful number, since it uses less digits than its factorization.

12042342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12042342 is about 3470.2077747593. The cubic root of 12042342 is about 229.2118073648.

Adding to 12042342 its reverse (24324021), we get a palindrome (36366363).

The spelling of 12042342 in words is "twelve million, forty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 318 477 689 954 971 1378 1942 2067 2913 4134 5826 6201 8739 12402 12623 17478 25246 37869 51463 75738 102926 113607 154389 227214 308778 463167 669019 926334 1338038 2007057 4014114 6021171 12042342