Search a number
-
+
341541200 = 245271113853
BaseRepresentation
bin10100010110111…
…000000101010000
3212210200002110002
4110112320011100
51144413304300
653520225132
711315023640
oct2426700520
9783602402
10341541200
11165877a60
129646b1a8
13559b3cb0
1433508520
151eeb75d5
hex145b8150

341541200 has 240 divisors, whose sum is σ = 1103012736. Its totient is φ = 98150400.

The previous prime is 341541199. The next prime is 341541223. The reversal of 341541200 is 2145143.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399974 + ... + 400826.

Almost surely, 2341541200 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 341541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551506368).

341541200 is an abundant number, since it is smaller than the sum of its proper divisors (761471536).

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

341541200 is a wasteful number, since it uses less digits than its factorization.

341541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 341541200 is about 18480.8333145451. The cubic root of 341541200 is about 699.0062088283.

Adding to 341541200 its reverse (2145143), we get a palindrome (343686343).

The spelling of 341541200 in words is "three hundred forty-one million, five hundred forty-one thousand, two hundred".