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434244240 = 24345193527
BaseRepresentation
bin11001111000100…
…000101010010000
31010021002220010000
4121320200222100
51342131303430
6111031210000
713522005123
oct3170405220
91107086100
10434244240
11203135141
12101516900
136bc71371
144195a3ba
15281c9e60
hex19e20a90

434244240 has 200 divisors, whose sum is σ = 1588023360. Its totient is φ = 109672704.

The previous prime is 434244191. The next prime is 434244253. The reversal of 434244240 is 42442434.

It is a happy number.

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121357 + ... + 124883.

Almost surely, 2434244240 is an apocalyptic number.

434244240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794011680).

434244240 is an abundant number, since it is smaller than the sum of its proper divisors (1153779120).

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

434244240 is a wasteful number, since it uses less digits than its factorization.

434244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571 (or 3556 counting only the distinct ones).

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

The square root of 434244240 is about 20838.5277790923. The cubic root of 434244240 is about 757.2594275755.

Adding to 434244240 its reverse (42442434), we get a palindrome (476686674).

The spelling of 434244240 in words is "four hundred thirty-four million, two hundred forty-four thousand, two hundred forty".