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434422440 = 23345134081
BaseRepresentation
bin11001111001001…
…100001010101000
31010021102221120000
4121321030022220
51342203004230
6111035103000
713523346504
oct3171141250
91107387500
10434422440
11203247011
121015a1a60
136c0044ca
14419a5304
1528212b60
hex19e4c2a8

434422440 has 80 divisors (see below), whose sum is σ = 1460152980. Its totient is φ = 115845120.

The previous prime is 434422393. The next prime is 434422451. The reversal of 434422440 is 44224434.

It is a happy number.

434422440 is a `hidden beast` number, since 434 + 4 + 224 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 415915236 + 18507204 = 20394^2 + 4302^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 63801 + ... + 70280.

Almost surely, 2434422440 is an apocalyptic number.

434422440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434422440 is an abundant number, since it is smaller than the sum of its proper divisors (1025730540).

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

434422440 is a wasteful number, since it uses less digits than its factorization.

434422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134104 (or 134091 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 434422440 is about 20842.8030744427. The cubic root of 434422440 is about 757.3629984564.

Adding to 434422440 its reverse (44224434), we get a palindrome (478646874).

The spelling of 434422440 in words is "four hundred thirty-four million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 134081 268162 402243 536324 670405 804486 1072648 1206729 1340810 1608972 2011215 2413458 2681620 3217944 3620187 4022430 4826916 5363240 6033645 7240374 8044860 9653832 10860561 12067290 14480748 16089720 18100935 21721122 24134580 28961496 36201870 43442244 48269160 54302805 72403740 86884488 108605610 144807480 217211220 434422440