Search a number
-
+
342323200200 = 233522321318233
BaseRepresentation
bin1001111101101000000…
…11011000000011001000
31012201121002111100210110
410332310003120003020
521102034214401300
6421132222114320
733506042122512
oct4766403300310
91181532440713
10342323200200
111221a6582003
125641741b9a0
13263862ba237
14127d609abb2
158d880eb550
hex4fb40d80c8

342323200200 has 288 divisors, whose sum is σ = 1117951259040. Its totient is φ = 86640153600.

The previous prime is 342323200183. The next prime is 342323200231. The reversal of 342323200200 is 2002323243.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41575284 + ... + 41583516.

It is an arithmetic number, because the mean of its divisors is an integer number (3881775205).

Almost surely, 2342323200200 is an apocalyptic number.

342323200200 is a gapful number since it is divisible by the number (30) 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 342323200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558975629520).

342323200200 is an abundant number, since it is smaller than the sum of its proper divisors (775628058840).

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

342323200200 is a wasteful number, since it uses less digits than its factorization.

342323200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8429 (or 8397 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 342323200200 its reverse (2002323243), we get a palindrome (344325523443).

The spelling of 342323200200 in words is "three hundred forty-two billion, three hundred twenty-three million, two hundred thousand, two hundred".