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3352402944 = 210331173151
BaseRepresentation
bin1100011111010001…
…1001110000000000
322122122010201022000
43013310121300000
523331203343234
61312353344000
7146034645342
oct30764316000
98578121260
103352402944
111470386a50
12796868000
134156cc3a7
1423b33b292
151494a4899
hexc7d19c00

3352402944 has 352 divisors, whose sum is σ = 11051834880. Its totient is φ = 995328000.

The previous prime is 3352402939. The next prime is 3352402969. The reversal of 3352402944 is 4492042533.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×33524029442 = 22477210997879734272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3352402899 and 3352402908.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22201269 + ... + 22201419.

Almost surely, 23352402944 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 3352402944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5525917440).

3352402944 is an abundant number, since it is smaller than the sum of its proper divisors (7699431936).

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

3352402944 is a wasteful number, since it uses less digits than its factorization.

3352402944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3352402944 is about 57899.9390673255. The cubic root of 3352402944 is about 1496.6447886335.

The spelling of 3352402944 in words is "three billion, three hundred fifty-two million, four hundred two thousand, nine hundred forty-four".