Search a number
-
+
341297712 = 24347172213
BaseRepresentation
bin10100010101111…
…100101000110000
3212210012201110000
4110111330220300
51144333011322
653511110000
711312661030
oct2425745060
9783181400
10341297712
11165721028
1296372300
135592a212
14334838c0
151ee6a3ac
hex1457ca30

341297712 has 200 divisors, whose sum is σ = 1195878816. Its totient is φ = 91736064.

The previous prime is 341297659. The next prime is 341297753. The reversal of 341297712 is 217792143.

It is a super-3 number, since 3×3412977123 (a number of 27 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 153118 + ... + 155330.

Almost surely, 2341297712 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 341297712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597939408).

341297712 is an abundant number, since it is smaller than the sum of its proper divisors (854581104).

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

341297712 is a wasteful number, since it uses less digits than its factorization.

341297712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2242 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 341297712 is about 18474.2445583033. The cubic root of 341297712 is about 698.8400599269.

It can be divided in two parts, 3412 and 97712, that added together give a square (101124 = 3182).

The spelling of 341297712 in words is "three hundred forty-one million, two hundred ninety-seven thousand, seven hundred twelve".