Search a number
-
+
414341322 = 231930711839
BaseRepresentation
bin11000101100100…
…101100011001010
31001212122201102220
4120230211203022
51322032410242
6105040434510
713160562123
oct3054454312
91055581386
10414341322
111a298084a
12b6918a36
1367ac31a5
143d05904a
1526597bec
hex18b258ca

414341322 has 32 divisors (see below), whose sum is σ = 875212800. Its totient is φ = 130407408.

The previous prime is 414341269. The next prime is 414341327. The reversal of 414341322 is 223143414.

It is a super-2 number, since 2×4143413222 = 343357462233415368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414341292 and 414341301.

It is not an unprimeable number, because it can be changed into a prime (414341327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29079 + ... + 40917.

It is an arithmetic number, because the mean of its divisors is an integer number (27350400).

Almost surely, 2414341322 is an apocalyptic number.

414341322 is an abundant number, since it is smaller than the sum of its proper divisors (460871478).

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

414341322 is a wasteful number, since it uses less digits than its factorization.

414341322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12170.

The product of its digits is 2304, while the sum is 24.

The square root of 414341322 is about 20355.3757518745. The cubic root of 414341322 is about 745.5087568880.

Adding to 414341322 its reverse (223143414), we get a palindrome (637484736).

The spelling of 414341322 in words is "four hundred fourteen million, three hundred forty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 19 38 57 114 307 614 921 1842 5833 11666 11839 17499 23678 34998 35517 71034 224941 449882 674823 1349646 3634573 7269146 10903719 21807438 69056887 138113774 207170661 414341322