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414430212 = 223711343661
BaseRepresentation
bin11000101100111…
…011010000000100
31001212211020101010
4120230323100010
51322043231322
6105042402220
713161412230
oct3054732004
91055736333
10414430212
111a2a31609
12b6960370
1367b247a1
143d07d5c0
15265b420c
hex18b3b404

414430212 has 48 divisors (see below), whose sum is σ = 1114952832. Its totient is φ = 117358080.

The previous prime is 414430207. The next prime is 414430243. The reversal of 414430212 is 212034414.

It is a super-3 number, since 3×4144302123 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12339 + ... + 31322.

It is an arithmetic number, because the mean of its divisors is an integer number (23228184).

Almost surely, 2414430212 is an apocalyptic number.

414430212 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

414430212 is an abundant number, since it is smaller than the sum of its proper divisors (700522620).

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

414430212 is a wasteful number, since it uses less digits than its factorization.

414430212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43788 (or 43786 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 414430212 is about 20357.5590874741. The cubic root of 414430212 is about 745.5620652206.

Adding to 414430212 its reverse (212034414), we get a palindrome (626464626).

The spelling of 414430212 in words is "four hundred fourteen million, four hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 339 452 678 791 1356 1582 2373 3164 4746 9492 43661 87322 130983 174644 261966 305627 523932 611254 916881 1222508 1833762 3667524 4933693 9867386 14801079 19734772 29602158 34535851 59204316 69071702 103607553 138143404 207215106 414430212