Search a number
-
+
341136000 = 27325323103
BaseRepresentation
bin10100010101010…
…101001010000000
3212202220111121200
4110111111022000
51144312323000
653503421200
711311415412
oct2425251200
9782814550
10341136000
11165620587
12962b4800
13558a172a
14334409b2
151ee37500
hex14555280

341136000 has 384 divisors, whose sum is σ = 1290781440. Its totient is φ = 86169600.

The previous prime is 341135989. The next prime is 341136007. The reversal of 341136000 is 631143.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (341136007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3311949 + ... + 3312051.

It is an arithmetic number, because the mean of its divisors is an integer number (3361410).

Almost surely, 2341136000 is an apocalyptic number.

341136000 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 341136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645390720).

341136000 is an abundant number, since it is smaller than the sum of its proper divisors (949645440).

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

341136000 is a wasteful number, since it uses less digits than its factorization.

341136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 341136000 is about 18469.8673519871. The cubic root of 341136000 is about 698.7296688390.

Adding to 341136000 its reverse (631143), we get a palindrome (341767143).

The spelling of 341136000 in words is "three hundred forty-one million, one hundred thirty-six thousand".