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9303940064 = 251719900149
BaseRepresentation
bin10001010101000111…
…01101101111100000
3220000102000010101202
420222203231233200
5123023302040224
64135115420332
7446363120456
oct105243555740
926012003352
109303940064
113a44916971
121977a546a8
13b5372a5a3
146439329d6
15396c17eae
hex22a8edbe0

9303940064 has 48 divisors (see below), whose sum is σ = 20415402000. Its totient is φ = 4147881984.

The previous prime is 9303940049. The next prime is 9303940097. The reversal of 9303940064 is 4600493039.

9303940064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439739 + ... + 460410.

It is an arithmetic number, because the mean of its divisors is an integer number (425320875).

Almost surely, 29303940064 is an apocalyptic number.

It is an amenable number.

9303940064 is an abundant number, since it is smaller than the sum of its proper divisors (11111461936).

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

9303940064 is a wasteful number, since it uses less digits than its factorization.

9303940064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900195 (or 900187 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 38.

The square root of 9303940064 is about 96456.9337269229. The cubic root of 9303940064 is about 2103.2406552031.

The spelling of 9303940064 in words is "nine billion, three hundred three million, nine hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 2584 5168 10336 900149 1800298 3600596 7201192 14402384 15302533 17102831 28804768 30605066 34205662 61210132 68411324 122420264 136822648 244840528 273645296 290748127 489681056 547290592 581496254 1162992508 2325985016 4651970032 9303940064