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414224430 = 23513807481
BaseRepresentation
bin11000101100001…
…001000000101110
31001212102210002120
4120230021000232
51322020140210
6105034133410
713156564254
oct3054110056
91055383076
10414224430
111a2900a44
12b6881266
1367a81c19
143d0285d4
1526573270
hex18b0902e

414224430 has 16 divisors (see below), whose sum is σ = 994138704. Its totient is φ = 110459840.

The previous prime is 414224417. The next prime is 414224443. The reversal of 414224430 is 34422414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (414224417) and next prime (414224443).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 414224430.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6903711 + ... + 6903770.

It is an arithmetic number, because the mean of its divisors is an integer number (62133669).

Almost surely, 2414224430 is an apocalyptic number.

414224430 is an abundant number, since it is smaller than the sum of its proper divisors (579914274).

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

414224430 is a wasteful number, since it uses less digits than its factorization.

414224430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13807491.

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

The square root of 414224430 is about 20352.5042685169. The cubic root of 414224430 is about 745.4386438345.

Adding to 414224430 its reverse (34422414), we get a palindrome (448646844).

The spelling of 414224430 in words is "four hundred fourteen million, two hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 13807481 27614962 41422443 69037405 82844886 138074810 207112215 414224430