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423205344 = 25331728813
BaseRepresentation
bin11001001110011…
…001100111100000
31002111100001121000
4121032121213200
51331320032334
6105554432000
713326120552
oct3116314740
91074301530
10423205344
111a7985491
12b9892600
13698a7983
14402c54d2
1527249299
hex193999e0

423205344 has 96 divisors (see below), whose sum is σ = 1307003040. Its totient is φ = 132765696.

The previous prime is 423205339. The next prime is 423205351. The reversal of 423205344 is 443502324.

423205344 is a `hidden beast` number, since 423 + 205 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 282 + ... + 29094.

It is an arithmetic number, because the mean of its divisors is an integer number (13614615).

Almost surely, 2423205344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423205344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653501520).

423205344 is an abundant number, since it is smaller than the sum of its proper divisors (883797696).

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

423205344 is a wasteful number, since it uses less digits than its factorization.

423205344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28849 (or 28835 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 423205344 is about 20571.9552789714. The cubic root of 423205344 is about 750.7875247835.

Adding to 423205344 its reverse (443502324), we get a palindrome (866707668).

The spelling of 423205344 in words is "four hundred twenty-three million, two hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 28813 57626 86439 115252 172878 230504 259317 345756 461008 489821 518634 691512 777951 922016 979642 1037268 1383024 1469463 1555902 1959284 2074536 2766048 2938926 3111804 3918568 4149072 4408389 5877852 6223608 7837136 8298144 8816778 11755704 12447216 13225167 15674272 17633556 23511408 24894432 26450334 35267112 47022816 52900668 70534224 105801336 141068448 211602672 423205344