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414320445 = 3257111091097
BaseRepresentation
bin11000101100100…
…000011100111101
31001212121122210200
4120230200130331
51322031223240
6105040154113
713160444220
oct3054403475
91055548720
10414320445
111a29670a0
12b6908939
1367ab6836
143d0515b7
1526591930
hex18b2073d

414320445 has 96 divisors (see below), whose sum is σ = 904400640. Its totient is φ = 170449920.

The previous prime is 414320443. The next prime is 414320453. The reversal of 414320445 is 544023414.

It is a happy number.

414320445 is a `hidden beast` number, since 414 + 3 + 204 + 45 = 666.

It is not a de Polignac number, because 414320445 - 21 = 414320443 is a prime.

It is a super-2 number, since 2×4143204452 = 343322862289996050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414320443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 377137 + ... + 378233.

It is an arithmetic number, because the mean of its divisors is an integer number (9420840).

Almost surely, 2414320445 is an apocalyptic number.

414320445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414320445 is an abundant number, since it is smaller than the sum of its proper divisors (490080195).

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

414320445 is a wasteful number, since it uses less digits than its factorization.

414320445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 414320445 is about 20354.8629324788. The cubic root of 414320445 is about 745.4962356107.

Adding to 414320445 its reverse (544023414), we get a palindrome (958343859).

The spelling of 414320445 in words is "four hundred fourteen million, three hundred twenty thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 109 165 231 315 327 385 495 545 693 763 981 1097 1155 1199 1635 2289 3291 3465 3597 3815 4905 5485 5995 6867 7679 8393 9873 10791 11445 12067 16455 17985 23037 25179 34335 36201 38395 41965 49365 53955 60335 69111 75537 84469 108603 115185 119573 125895 181005 253407 345555 358719 377685 422345 543015 597865 760221 837011 1076157 1267035 1315303 1793595 2511033 3801105 3945909 4185055 5380785 6576515 7533099 9207121 11837727 12555165 19729545 27621363 37665495 46035605 59188635 82864089 138106815 414320445