Search a number
-
+
198439344 = 243219294161
BaseRepresentation
bin10111101001111…
…11000110110000
3111211101202121100
423310333012300
5401300024334
631405124400
74626464235
oct1364770660
9454352540
10198439344
11a2017464
1256559700
133215bb3c
141c4d778c
151264bc99
hexbd3f1b0

198439344 has 240 divisors, whose sum is σ = 629647200. Its totient is φ = 58060800.

The previous prime is 198439337. The next prime is 198439379. The reversal of 198439344 is 443934891.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 198439344.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3253074 + ... + 3253134.

It is an arithmetic number, because the mean of its divisors is an integer number (2623530).

Almost surely, 2198439344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198439344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314823600).

198439344 is an abundant number, since it is smaller than the sum of its proper divisors (431207856).

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

198439344 is a wasteful number, since it uses less digits than its factorization.

198439344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 198439344 is about 14086.8500382449. The cubic root of 198439344 is about 583.2784451938.

It can be divided in two parts, 1984 and 39344, that added together give a triangular number (41328 = T287).

The spelling of 198439344 in words is "one hundred ninety-eight million, four hundred thirty-nine thousand, three hundred forty-four".