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3243322368 = 21032111323107
BaseRepresentation
bin1100000101010001…
…0010110000000000
322101000212211212200
43001110102300000
523120242303433
61253455353200
7143241533226
oct30124226000
98330784780
103243322368
111414853110
12766222800
133c8c29680
1422aa64b16
1513eb09613
hexc1512c00

3243322368 has 528 divisors, whose sum is σ = 11587919616. Its totient is φ = 859668480.

The previous prime is 3243322319. The next prime is 3243322421. The reversal of 3243322368 is 8632233423.

3243322368 is a `hidden beast` number, since 324 + 3 + 322 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30311371 + ... + 30311477.

Almost surely, 23243322368 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 3243322368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793959808).

3243322368 is an abundant number, since it is smaller than the sum of its proper divisors (8344597248).

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

3243322368 is a wasteful number, since it uses less digits than its factorization.

3243322368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 3243322368 is about 56950.1744334466. The cubic root of 3243322368 is about 1480.2328535499.

The spelling of 3243322368 in words is "three billion, two hundred forty-three million, three hundred twenty-two thousand, three hundred sixty-eight".