Search a number
-
+
341278080 = 273511213113
BaseRepresentation
bin10100010101110…
…111110110000000
3212210011201111220
4110111313312000
51144331344310
653510435040
711312546553
oct2425676600
9783151456
10341278080
11165708300
1296362a80
13559212c0
143347a69a
151ee64670
hex14577d80

341278080 has 384 divisors, whose sum is σ = 1299080160. Its totient is φ = 75694080.

The previous prime is 341278073. The next prime is 341278081. The reversal of 341278080 is 80872143.

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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341278081) 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, 3020104 + ... + 3020216.

Almost surely, 2341278080 is an apocalyptic number.

341278080 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 341278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649540080).

341278080 is an abundant number, since it is smaller than the sum of its proper divisors (957802080).

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

341278080 is a wasteful number, since it uses less digits than its factorization.

341278080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 341278080 is about 18473.7132163515. The cubic root of 341278080 is about 698.8266601974.

The spelling of 341278080 in words is "three hundred forty-one million, two hundred seventy-eight thousand, eighty".