Search a number
-
+
12342016 = 28371303
BaseRepresentation
bin101111000101…
…001100000000
3212020001001201
4233011030000
511124421031
61120310544
7206622361
oct57051400
925201051
1012342016
116a6a815
124172454
13273188b
1418d3b68
15113bd61
hexbc5300

12342016 has 36 divisors (see below), whose sum is σ = 25321072. Its totient is φ = 5999616.

The previous prime is 12342013. The next prime is 12342047. The reversal of 12342016 is 61024321.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12341984 and 12342002.

It is not an unprimeable number, because it can be changed into a prime (12342013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8821 + ... + 10123.

Almost surely, 212342016 is an apocalyptic number.

12342016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12660536).

12342016 is an abundant number, since it is smaller than the sum of its proper divisors (12979056).

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

12342016 is an equidigital number, since it uses as much as digits as its factorization.

12342016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 12342016 is about 3513.1205501662. The cubic root of 12342016 is about 231.0975644043.

Adding to 12342016 its reverse (61024321), we get a palindrome (73366337).

The spelling of 12342016 in words is "twelve million, three hundred forty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 1303 2368 2606 4736 5212 9472 10424 20848 41696 48211 83392 96422 166784 192844 333568 385688 771376 1542752 3085504 6171008 12342016