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2014330432 = 2623259497
BaseRepresentation
bin111100000010000…
…0011111001000000
312012101022120212211
41320010003321000
513111132033212
6531514031504
7100626345322
oct17004037100
95171276784
102014330432
119440452a4
12482718594
13261423cca
14151749612
15bbc939a7
hex78103e40

2014330432 has 42 divisors (see below), whose sum is σ = 4178604038. Its totient is φ = 963359232.

The previous prime is 2014330397. The next prime is 2014330433. The reversal of 2014330432 is 2340334102.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1775442496 + 238887936 = 42136^2 + 15456^2 .

It is not an unprimeable number, because it can be changed into a prime (2014330433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4108 + ... + 63604.

Almost surely, 22014330432 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 2014330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089302019).

2014330432 is an abundant number, since it is smaller than the sum of its proper divisors (2164273606).

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

2014330432 is an equidigital number, since it uses as much as digits as its factorization.

2014330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59555 (or 59522 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2014330432 is about 44881.2926730058. The cubic root of 2014330432 is about 1262.9230933295.

Adding to 2014330432 its reverse (2340334102), we get a palindrome (4354664534).

The spelling of 2014330432 in words is "two billion, fourteen million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1472 2116 4232 8464 16928 33856 59497 118994 237988 475976 951952 1368431 1903904 2736862 3807808 5473724 10947448 21894896 31473913 43789792 62947826 87579584 125895652 251791304 503582608 1007165216 2014330432