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19434240 = 283257241
BaseRepresentation
bin100101000100…
…0101100000000
31100120100202200
41022020230000
514433343430
61532313200
7324121410
oct112105400
940510680
1019434240
11aa74261
126612800
134045a67
14281c640
151a8d460
hex1288b00

19434240 has 216 divisors, whose sum is σ = 77165088. Its totient is φ = 4423680.

The previous prime is 19434229. The next prime is 19434251. The reversal of 19434240 is 4243491.

It is an interprime number because it is at equal distance from previous prime (19434229) and next prime (19434251).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80520 + ... + 80760.

Almost surely, 219434240 is an apocalyptic number.

19434240 is a gapful number since it is divisible by the number (10) 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 19434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38582544).

19434240 is an abundant number, since it is smaller than the sum of its proper divisors (57730848).

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

19434240 is a wasteful number, since it uses less digits than its factorization.

19434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 19434240 is about 4408.4282913528. The cubic root of 19434240 is about 268.8577256976.

The spelling of 19434240 in words is "nineteen million, four hundred thirty-four thousand, two hundred forty".