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3253440000 = 293543389
BaseRepresentation
bin1100000111101011…
…1000111000000000
322101201220212122210
43001322320320000
523130340040000
61254500302120
7143423532546
oct30172707000
98351825583
103253440000
11141a533698
127696a1940
133cb05c935
1422c139d96
15140957350
hexc1eb8e00

3253440000 has 200 divisors, whose sum is σ = 10833938280. Its totient is φ = 867328000.

The previous prime is 3253439971. The next prime is 3253440037. The reversal of 3253440000 is 443523.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

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 19 ways as a sum of consecutive naturals, for example, 958306 + ... + 961694.

Almost surely, 23253440000 is an apocalyptic number.

3253440000 is a gapful number since it is divisible by the number (30) 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 3253440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416969140).

3253440000 is an abundant number, since it is smaller than the sum of its proper divisors (7580498280).

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

3253440000 is an frugal number, since it uses more digits than its factorization.

3253440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 3253440000 is about 57038.9340713867. The cubic root of 3253440000 is about 1481.7704646139.

Adding to 3253440000 its reverse (443523), we get a palindrome (3253883523).

The spelling of 3253440000 in words is "three billion, two hundred fifty-three million, four hundred forty thousand".