Search a number
-
+
341386560 = 263251131049
BaseRepresentation
bin10100010110010…
…010010101000000
3212210101020022200
4110112102111000
51144343332220
653513033200
711313511044
oct2426222500
9783336280
10341386560
11165781859
12963b5800
135595b7a8
14334a8024
151ee86890
hex14592540

341386560 has 168 divisors, whose sum is σ = 1185748200. Its totient is φ = 90144768.

The previous prime is 341386543. The next prime is 341386607. The reversal of 341386560 is 65683143.

341386560 is a `hidden beast` number, since 3 + 4 + 13 + 86 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18249984 + 323136576 = 4272^2 + 17976^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324916 + ... + 325964.

It is an arithmetic number, because the mean of its divisors is an integer number (7058025).

Almost surely, 2341386560 is an apocalyptic number.

341386560 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 341386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592874100).

341386560 is an abundant number, since it is smaller than the sum of its proper divisors (844361640).

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

341386560 is a wasteful number, since it uses less digits than its factorization.

341386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 341386560 is about 18476.6490468375. The cubic root of 341386560 is about 698.9006962886.

The spelling of 341386560 in words is "three hundred forty-one million, three hundred eighty-six thousand, five hundred sixty".