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3243820608 = 2635783359
BaseRepresentation
bin1100000101011000…
…1100011001000000
322101001211011100000
43001112030121000
523120404224413
61253514200000
7143246006640
oct30126143100
98331734300
103243820608
111415063486
12766423000
133c90723a2
1422ab54520
1513eba7073
hexc158c640

3243820608 has 336 divisors, whose sum is σ = 11183477760. Its totient is φ = 913089024.

The previous prime is 3243820597. The next prime is 3243820631. The reversal of 3243820608 is 8060283423.

3243820608 is a `hidden beast` number, since 3 + 2 + 43 + 8 + 2 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9035533 + ... + 9035891.

It is an arithmetic number, because the mean of its divisors is an integer number (33284160).

Almost surely, 23243820608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3243820608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591738880).

3243820608 is an abundant number, since it is smaller than the sum of its proper divisors (7939657152).

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

3243820608 is an equidigital number, since it uses as much as digits as its factorization.

3243820608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3243820608 is about 56954.5486155408. The cubic root of 3243820608 is about 1480.3086475836.

The spelling of 3243820608 in words is "three billion, two hundred forty-three million, eight hundred twenty thousand, six hundred eight".