Search a number
-
+
342300222 = 233111733331
BaseRepresentation
bin10100011001110…
…001011000111110
3212212002122122000
4110121301120332
51200112101342
653544403130
711324334555
oct2431613076
9785078560
10342300222
11166246250
12967764a6
1355bbb614
1433664d9c
15200b744c
hex1467163e

342300222 has 64 divisors (see below), whose sum is σ = 834865920. Its totient is φ = 103096800.

The previous prime is 342300199. The next prime is 342300227. The reversal of 342300222 is 222003243.

342300222 is a `hidden beast` number, since 342 + 300 + 2 + 22 = 666.

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 = 342300195 and 342300204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342300227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101097 + ... + 104427.

It is an arithmetic number, because the mean of its divisors is an integer number (13044780).

Almost surely, 2342300222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342300222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417432960).

342300222 is an abundant number, since it is smaller than the sum of its proper divisors (492565698).

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

342300222 is a wasteful number, since it uses less digits than its factorization.

342300222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 342300222 is about 18501.3573015603. The cubic root of 342300222 is about 699.5236364431.

Adding to 342300222 its reverse (222003243), we get a palindrome (564303465).

The spelling of 342300222 in words is "three hundred forty-two million, three hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 173 198 297 346 519 594 1038 1557 1903 3114 3331 3806 4671 5709 6662 9342 9993 11418 17127 19986 29979 34254 36641 51381 59958 73282 89937 102762 109923 179874 219846 329769 576263 659538 989307 1152526 1728789 1978614 3457578 5186367 6338893 10372734 12677786 15559101 19016679 31118202 38033358 57050037 114100074 171150111 342300222