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414344232 = 233210753783
BaseRepresentation
bin11000101100100…
…110010000101000
31001212122212102200
4120230212100220
51322033003412
6105040500200
713160603451
oct3054462050
91055585380
10414344232
111a2982a55
12b691a660
1367ac4603
143d05a128
15265989dc
hex18b26428

414344232 has 48 divisors (see below), whose sum is σ = 1132691040. Its totient is φ = 136821408.

The previous prime is 414344209. The next prime is 414344243. The reversal of 414344232 is 232443414.

It is a happy number.

It is a super-2 number, since 2×4143442322 = 343362285183339648, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 414344196 and 414344205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19188 + ... + 34595.

It is an arithmetic number, because the mean of its divisors is an integer number (23597730).

Almost surely, 2414344232 is an apocalyptic number.

It is an amenable number.

414344232 is an abundant number, since it is smaller than the sum of its proper divisors (718346808).

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

414344232 is a wasteful number, since it uses less digits than its factorization.

414344232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53902 (or 53895 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 414344232 is about 20355.4472316380. The cubic root of 414344232 is about 745.5105021684.

Adding to 414344232 its reverse (232443414), we get a palindrome (646787646).

The spelling of 414344232 in words is "four hundred fourteen million, three hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1926 2568 3852 7704 53783 107566 161349 215132 322698 430264 484047 645396 968094 1290792 1936188 3872376 5754781 11509562 17264343 23019124 34528686 46038248 51793029 69057372 103586058 138114744 207172116 414344232