Search a number
-
+
341134080 = 28357437
BaseRepresentation
bin10100010101010…
…100101100000000
3212202220101222120
4110111110230000
51144312242310
653503404240
711311410000
oct2425245400
9782811876
10341134080
1116561a0a1
12962b3680
13558a08b1
1433440000
151ee36b70
hex14554b00

341134080 has 360 divisors, whose sum is σ = 1305355632. Its totient is φ = 75866112.

The previous prime is 341134033. The next prime is 341134081. The reversal of 341134080 is 80431143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 341134080.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1036 × 980 × 336.

It is not an unprimeable number, because it can be changed into a prime (341134081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9219822 + ... + 9219858.

Almost surely, 2341134080 is an apocalyptic number.

341134080 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 341134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652677816).

341134080 is an abundant number, since it is smaller than the sum of its proper divisors (964221552).

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

341134080 is an frugal number, since it uses more digits than its factorization.

341134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 341134080 is about 18469.8153753631. The cubic root of 341134080 is about 698.7283579606.

It can be divided in two parts, 341 and 134080, that added together give a triangular number (134421 = T518).

The spelling of 341134080 in words is "three hundred forty-one million, one hundred thirty-four thousand, eighty".