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434450200 = 235219114329
BaseRepresentation
bin11001111001010…
…010111100011000
31010021111100122011
4121321102330120
51342204401300
6111035435304
713523523442
oct3171227430
91107440564
10434450200
11203265958
121015b5b34
136c014032
14419b1492
152821aeba
hex19e52f18

434450200 has 48 divisors (see below), whose sum is σ = 1063269000. Its totient is φ = 164632320.

The previous prime is 434450179. The next prime is 434450209. The reversal of 434450200 is 2054434.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434450209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53365 + ... + 60964.

Almost surely, 2434450200 is an apocalyptic number.

434450200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434450200 is an abundant number, since it is smaller than the sum of its proper divisors (628818800).

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

434450200 is a wasteful number, since it uses less digits than its factorization.

434450200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114364 (or 114355 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 434450200 is about 20843.4690011044. The cubic root of 434450200 is about 757.3791301806.

The spelling of 434450200 in words is "four hundred thirty-four million, four hundred fifty 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 114329 228658 457316 571645 914632 1143290 2172251 2286580 2858225 4344502 4573160 5716450 8689004 10861255 11432900 17378008 21722510 22865800 43445020 54306275 86890040 108612550 217225100 434450200