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414212630 = 251315121101
BaseRepresentation
bin11000101100000…
…110001000010110
31001212102011220112
4120230012020112
51322014301010
6105034003022
713156514666
oct3054061026
91055364815
10414212630
111a28a3097
12b6876472
1367a79740
143d0241a6
152656ea05
hex18b06216

414212630 has 32 divisors (see below), whose sum is σ = 808291008. Its totient is φ = 151920000.

The previous prime is 414212621. The next prime is 414212641. The reversal of 414212630 is 36212414.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 414212596 and 414212605.

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 15 ways as a sum of consecutive naturals, for example, 9080 + ... + 30180.

It is an arithmetic number, because the mean of its divisors is an integer number (25259094).

Almost surely, 2414212630 is an apocalyptic number.

414212630 is a deficient number, since it is larger than the sum of its proper divisors (394078378).

414212630 is a wasteful number, since it uses less digits than its factorization.

414212630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21272.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 414212630 is about 20352.2143758364. The cubic root of 414212630 is about 745.4315653372.

The spelling of 414212630 in words is "four hundred fourteen million, two hundred twelve thousand, six hundred thirty".

Divisors: 1 2 5 10 13 26 65 130 151 302 755 1510 1963 3926 9815 19630 21101 42202 105505 211010 274313 548626 1371565 2743130 3186251 6372502 15931255 31862510 41421263 82842526 207106315 414212630