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414768189 = 311313171279
BaseRepresentation
bin11000101110001…
…101110000111101
31001220110101222210
4120232031300331
51322140040224
6105053531033
713164320463
oct3056156075
91056411883
10414768189
111a3142530
12b6aa3a79
1367c12584
143d12a833
152662e429
hex18b8dc3d

414768189 has 32 divisors (see below), whose sum is σ = 625213440. Its totient is φ = 242308800.

The previous prime is 414768169. The next prime is 414768191. The reversal of 414768189 is 981867414.

It is not a de Polignac number, because 414768189 - 215 = 414735421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414768149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323652 + ... + 324930.

It is an arithmetic number, because the mean of its divisors is an integer number (19537920).

Almost surely, 2414768189 is an apocalyptic number.

It is an amenable number.

414768189 is a deficient number, since it is larger than the sum of its proper divisors (210445251).

414768189 is a wasteful number, since it uses less digits than its factorization.

414768189 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641.

The product of its digits is 387072, while the sum is 48.

The square root of 414768189 is about 20365.8584154953. The cubic root of 414768189 is about 745.7646842661.

The spelling of 414768189 in words is "four hundred fourteen million, seven hundred sixty-eight thousand, one hundred eighty-nine".

Divisors: 1 3 11 31 33 93 317 341 951 1023 1279 3487 3837 9827 10461 14069 29481 39649 42207 108097 118947 324291 405443 436139 1216329 1308417 4459873 12568733 13379619 37706199 138256063 414768189