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3230496000 = 2833533739
BaseRepresentation
bin1100000010001101…
…0111010100000000
322100010202012102000
43000203113110000
523104001333000
61252320424000
7143024522454
oct30043272400
98303665360
103230496000
111408592506
12761a78000
133c63884c4
14229086664
1513d924000
hexc08d7500

3230496000 has 288 divisors, whose sum is σ = 11925513600. Its totient is φ = 861235200.

The previous prime is 3230495999. The next prime is 3230496007. The reversal of 3230496000 is 6940323.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×32304960002 = 20872208812032000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3230496007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862131 + ... + 865869.

Almost surely, 23230496000 is an apocalyptic number.

3230496000 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 3230496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962756800).

3230496000 is an abundant number, since it is smaller than the sum of its proper divisors (8695017600).

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

3230496000 is an equidigital number, since it uses as much as digits as its factorization.

3230496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3230496000 is about 56837.4524411501. The cubic root of 3230496000 is about 1478.2789831791.

The spelling of 3230496000 in words is "three billion, two hundred thirty million, four hundred ninety-six thousand".