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190434240 = 263553179
BaseRepresentation
bin10110101100111…
…00101111000000
3111021100001200000
423112130233000
5342222343430
630521400000
74501443603
oct1326345700
9437301600
10190434240
119854a077
1253939000
13305b82a9
141b41233a
1511ab9e60
hexb59cbc0

190434240 has 336 divisors, whose sum is σ = 710062080. Its totient is φ = 48522240.

The previous prime is 190434203. The next prime is 190434281. The reversal of 190434240 is 42434091.

190434240 is a `hidden beast` number, since 190 + 434 + 2 + 40 = 666.

190434240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2410521 + ... + 2410599.

It is an arithmetic number, because the mean of its divisors is an integer number (2113280).

Almost surely, 2190434240 is an apocalyptic number.

190434240 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 190434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355031040).

190434240 is an abundant number, since it is smaller than the sum of its proper divisors (519627840).

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

190434240 is an equidigital number, since it uses as much as digits as its factorization.

190434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

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

The square root of 190434240 is about 13799.7913027698. The cubic root of 190434240 is about 575.3273397645.

The spelling of 190434240 in words is "one hundred ninety million, four hundred thirty-four thousand, two hundred forty".