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3241350000 = 24335574
BaseRepresentation
bin1100000100110011…
…0001001101110000
322100220011122022000
43001030301031300
523114241200000
61253345214000
7143216010000
oct30114611560
98326148260
103241350000
111413726259
12765631300
133c86b89a5
1422a6b0000
1513e86a000
hexc1331370

3241350000 has 600 divisors, whose sum is σ = 13566475440. Its totient is φ = 740880000.

The previous prime is 3241349983. The next prime is 3241350001. The reversal of 3241350000 is 531423.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3241350001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 463049997 + ... + 463050003.

Almost surely, 23241350000 is an apocalyptic number.

3241350000 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 3241350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6783237720).

3241350000 is an abundant number, since it is smaller than the sum of its proper divisors (10325125440).

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

3241350000 is an frugal number, since it uses more digits than its factorization.

3241350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3241350000 is about 56932.8551892490. The cubic root of 3241350000 is about 1479.9327337336.

Adding to 3241350000 its reverse (531423), we get a palindrome (3241881423).

The spelling of 3241350000 in words is "three billion, two hundred forty-one million, three hundred fifty thousand".