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434350240 = 25514991811
BaseRepresentation
bin11001111000111…
…010100010100000
31010021022021111221
4121320322202200
51342143201430
6111033344424
713522626142
oct3170724240
91107267457
10434350240
112031a7845
12101568114
136bcaa69c
1441986c92
15281eb57a
hex19e3a8a0

434350240 has 48 divisors (see below), whose sum is σ = 1027404000. Its totient is φ = 173528320.

The previous prime is 434350237. The next prime is 434350249. The reversal of 434350240 is 42053434.

It is not an unprimeable number, because it can be changed into a prime (434350249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238935 + ... + 240745.

It is an arithmetic number, because the mean of its divisors is an integer number (21404250).

Almost surely, 2434350240 is an apocalyptic number.

434350240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434350240 is an abundant number, since it is smaller than the sum of its proper divisors (593053760).

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

434350240 is a wasteful number, since it uses less digits than its factorization.

434350240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 434350240 is about 20841.0709897548. The cubic root of 434350240 is about 757.3210388083.

The spelling of 434350240 in words is "four hundred thirty-four million, three hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1499 1811 2998 3622 5996 7244 7495 9055 11992 14488 14990 18110 23984 28976 29980 36220 47968 57952 59960 72440 119920 144880 239840 289760 2714689 5429378 10858756 13573445 21717512 27146890 43435024 54293780 86870048 108587560 217175120 434350240