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3243373056 = 29337112277
BaseRepresentation
bin1100000101010001…
…1111001000000000
322101000222102102000
43001110133020000
523120300414211
61253500424000
7143242134060
oct30124371000
98330872360
103243373056
111414888200
12766248000
133c8c46771
1422aa793a0
1513eb19656
hexc151f200

3243373056 has 480 divisors, whose sum is σ = 12103808640. Its totient is φ = 839393280.

The previous prime is 3243373027. The next prime is 3243373057. The reversal of 3243373056 is 6503733423.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3243373056.

It is not an unprimeable number, because it can be changed into a prime (3243373057) 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 47 ways as a sum of consecutive naturals, for example, 11708790 + ... + 11709066.

It is an arithmetic number, because the mean of its divisors is an integer number (25216268).

Almost surely, 23243373056 is an apocalyptic number.

3243373056 is a gapful number since it is divisible by the number (36) 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 3243373056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6051904320).

3243373056 is an abundant number, since it is smaller than the sum of its proper divisors (8860435584).

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

3243373056 is a wasteful number, since it uses less digits than its factorization.

3243373056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 36.

The square root of 3243373056 is about 56950.6194522939. The cubic root of 3243373056 is about 1480.2405647427.

The spelling of 3243373056 in words is "three billion, two hundred forty-three million, three hundred seventy-three thousand, fifty-six".