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434412200 = 235219114319
BaseRepresentation
bin11001111001001…
…001101010101000
31010021102102111202
4121321021222220
51342202142300
6111034543332
713523304605
oct3171115250
91107372452
10434412200
1120323a352
12101597b48
136bccc951
14419a16ac
152820ead5
hex19e49aa8

434412200 has 48 divisors (see below), whose sum is σ = 1063176000. Its totient is φ = 164617920.

The previous prime is 434412193. The next prime is 434412233. The reversal of 434412200 is 2214434.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53360 + ... + 60959.

It is an arithmetic number, because the mean of its divisors is an integer number (22149500).

Almost surely, 2434412200 is an apocalyptic number.

434412200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434412200 is an abundant number, since it is smaller than the sum of its proper divisors (628763800).

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

434412200 is a wasteful number, since it uses less digits than its factorization.

434412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114354 (or 114345 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 434412200 is about 20842.5574246540. The cubic root of 434412200 is about 757.3570476757.

Adding to 434412200 its reverse (2214434), we get a palindrome (436626634).

The spelling of 434412200 in words is "four hundred thirty-four million, four hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 114319 228638 457276 571595 914552 1143190 2172061 2286380 2857975 4344122 4572760 5715950 8688244 10860305 11431900 17376488 21720610 22863800 43441220 54301525 86882440 108603050 217206100 434412200