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2330300032 = 2743835101
BaseRepresentation
bin1000101011100101…
…1000111010000000
320000101212111200121
42022321120322000
514233024100112
61023122230024
7111514136434
oct21271307200
96011774617
102330300032
11a964369a5
125504b5314
132b1a23878
141816b89c4
15d98a9407
hex8ae58e80

2330300032 has 64 divisors (see below), whose sum is σ = 4808532960. Its totient is φ = 1124121600.

The previous prime is 2330299963. The next prime is 2330300059. The reversal of 2330300032 is 2300030332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2330299979 and 2330300015.

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 7 ways as a sum of consecutive naturals, for example, 454282 + ... + 459382.

Almost surely, 22330300032 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 2330300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404266480).

2330300032 is an abundant number, since it is smaller than the sum of its proper divisors (2478232928).

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

2330300032 is an equidigital number, since it uses as much as digits as its factorization.

2330300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5241 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

The square root of 2330300032 is about 48273.1812914790. The cubic root of 2330300032 is about 1325.7774067534. Note that the first 3 decimals are identical.

Adding to 2330300032 its reverse (2300030332), we get a palindrome (4630330364).

The spelling of 2330300032 in words is "two billion, three hundred thirty million, three hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 43 64 83 86 128 166 172 332 344 664 688 1328 1376 2656 2752 3569 5101 5312 5504 7138 10202 10624 14276 20404 28552 40808 57104 81616 114208 163232 219343 228416 326464 423383 438686 456832 652928 846766 877372 1693532 1754744 3387064 3509488 6774128 7018976 13548256 14037952 18205469 27096512 28075904 36410938 54193024 72821876 145643752 291287504 582575008 1165150016 2330300032