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2330316768 = 253131867241
BaseRepresentation
bin1000101011100101…
…1100111111100000
320000101220100122110
42022321130333200
514233030114033
61023122435320
7111514236303
oct21271347740
96011810573
102330316768
11a9644852a
12550502b40
132b1a2b380
141816c0b3a
15d98ae363
hex8ae5cfe0

2330316768 has 48 divisors (see below), whose sum is σ = 6587629776. Its totient is φ = 717020160.

The previous prime is 2330316767. The next prime is 2330316787. The reversal of 2330316768 is 8676130332.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330316763) by changing a digit.

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, 932373 + ... + 934868.

It is an arithmetic number, because the mean of its divisors is an integer number (137242287).

Almost surely, 22330316768 is an apocalyptic number.

It is an amenable number.

2330316768 is an abundant number, since it is smaller than the sum of its proper divisors (4257313008).

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

2330316768 is a wasteful number, since it uses less digits than its factorization.

2330316768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867267 (or 1867259 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 2330316768 is about 48273.3546379367. The cubic root of 2330316768 is about 1325.7805806161.

The spelling of 2330316768 in words is "two billion, three hundred thirty million, three hundred sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1867241 3734482 5601723 7468964 11203446 14937928 22406892 24274133 29875856 44813784 48548266 59751712 72822399 89627568 97096532 145644798 179255136 194193064 291289596 388386128 582579192 776772256 1165158384 2330316768