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6234243840 = 283351123231
BaseRepresentation
bin1011100111001011…
…10000001100000000
3121002110211101211000
411303211300030000
5100231431300330
62510341252000
7310330125006
oct56345601400
917073741730
106234243840
11270a082740
12125ba04000
137847828a6
14431d86a76
152674a8560
hex173970300

6234243840 has 864 divisors, whose sum is σ = 26042849280. Its totient is φ = 1398988800.

The previous prime is 6234243779. The next prime is 6234243857. The reversal of 6234243840 is 483424326.

6234243840 is a `hidden beast` number, since 623 + 4 + 24 + 3 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6234243795 and 6234243804.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 201104625 + ... + 201104655.

Almost surely, 26234243840 is an apocalyptic number.

6234243840 is a gapful number since it is divisible by the number (60) 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 6234243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13021424640).

6234243840 is an abundant number, since it is smaller than the sum of its proper divisors (19808605440).

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

6234243840 is a wasteful number, since it uses less digits than its factorization.

6234243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 6234243840 is about 78957.2279148654. The cubic root of 6234243840 is about 1840.4665483592.

It can be divided in two parts, 623424 and 3840, that added together give a square (627264 = 7922).

The spelling of 6234243840 in words is "six billion, two hundred thirty-four million, two hundred forty-three thousand, eight hundred forty".