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430205216 = 2573751907
BaseRepresentation
bin11001101001000…
…110100100100000
31002222111200121112
4121221012210200
51340113031331
6110404442452
713442453420
oct3151064440
91088450545
10430205216
11200926601
121000a9428
136b188acc
14411c8480
1527b7d32b
hex19a46920

430205216 has 48 divisors (see below), whose sum is σ = 994142016. Its totient is φ = 179387136.

The previous prime is 430205207. The next prime is 430205219. The reversal of 430205216 is 612502034.

It is a junction number, because it is equal to n+sod(n) for n = 430205191 and 430205200.

It is not an unprimeable number, because it can be changed into a prime (430205219) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17666 + ... + 34241.

It is an arithmetic number, because the mean of its divisors is an integer number (20711292).

Almost surely, 2430205216 is an apocalyptic number.

It is an amenable number.

430205216 is an abundant number, since it is smaller than the sum of its proper divisors (563936800).

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

430205216 is a wasteful number, since it uses less digits than its factorization.

430205216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51961 (or 51953 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 430205216 is about 20741.3889602408. The cubic root of 430205216 is about 754.9042850462.

The spelling of 430205216 in words is "four hundred thirty million, two hundred five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 2072 4144 8288 51907 103814 207628 363349 415256 726698 830512 1453396 1661024 1920559 2906792 3841118 5813584 7682236 11627168 13443913 15364472 26887826 30728944 53775652 61457888 107551304 215102608 430205216