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414304422 = 23710990499
BaseRepresentation
bin11000101100011…
…100100010100110
31001212120211211020
4120230130202212
51322030220142
6105035552010
713160346420
oct3054344246
91055524736
10414304422
111a2956054
12b68bb606
1367aac45c
143d049810
152658bcec
hex18b1c8a6

414304422 has 32 divisors (see below), whose sum is σ = 955680000. Its totient is φ = 117285408.

The previous prime is 414304417. The next prime is 414304439. The reversal of 414304422 is 224403414.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 414304392 and 414304401.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 40672 + ... + 49827.

It is an arithmetic number, because the mean of its divisors is an integer number (29865000).

Almost surely, 2414304422 is an apocalyptic number.

414304422 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

414304422 is an abundant number, since it is smaller than the sum of its proper divisors (541375578).

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

414304422 is a wasteful number, since it uses less digits than its factorization.

414304422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90620.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 414304422 is about 20354.4693372242. The cubic root of 414304422 is about 745.4866253036.

Adding to 414304422 its reverse (224403414), we get a palindrome (638707836).

The spelling of 414304422 in words is "four hundred fourteen million, three hundred four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 109 218 327 654 763 1526 2289 4578 90499 180998 271497 542994 633493 1266986 1900479 3800958 9864391 19728782 29593173 59186346 69050737 138101474 207152211 414304422