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201347328 = 2837134367
BaseRepresentation
bin11000000000001…
…01000100000000
3112000212111121110
430000011010000
5403021103303
631551323320
74663265310
oct1400050400
9460774543
10201347328
11a3723256
1257520540
1332939640
141ca53440
1512a23703
hexc005100

201347328 has 288 divisors, whose sum is σ = 684952576. Its totient is φ = 51093504.

The previous prime is 201347327. The next prime is 201347339. The reversal of 201347328 is 823743102.

It is a junction number, because it is equal to n+sod(n) for n = 201347295 and 201347304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201347327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3005151 + ... + 3005217.

Almost surely, 2201347328 is an apocalyptic number.

201347328 is a gapful number since it is divisible by the number (28) 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 201347328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342476288).

201347328 is an abundant number, since it is smaller than the sum of its proper divisors (483605248).

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

201347328 is a wasteful number, since it uses less digits than its factorization.

201347328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 201347328 is about 14189.6909057245. The cubic root of 201347328 is about 586.1138134266.

The spelling of 201347328 in words is "two hundred one million, three hundred forty-seven thousand, three hundred twenty-eight".