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2014435332 = 2234713174019
BaseRepresentation
bin111100000010001…
…1101100000000100
312012101111220210000
41320010131200010
513111143412312
6531520201300
7100630263210
oct17004354004
95171456700
102014435332
11944107098
12482769230
1326145c990
14151775940
15bbcb4adc
hex7811d804

2014435332 has 240 divisors, whose sum is σ = 6864359040. Its totient is φ = 499903488.

The previous prime is 2014435331. The next prime is 2014435343. The reversal of 2014435332 is 2335344102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2014435296 and 2014435305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014435331) 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 79 ways as a sum of consecutive naturals, for example, 499219 + ... + 503237.

It is an arithmetic number, because the mean of its divisors is an integer number (28601496).

Almost surely, 22014435332 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 2014435332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432179520).

2014435332 is an abundant number, since it is smaller than the sum of its proper divisors (4849923708).

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

2014435332 is a wasteful number, since it uses less digits than its factorization.

2014435332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2014435332 is about 44882.4612961455. The cubic root of 2014435332 is about 1262.9450159712.

Adding to 2014435332 its reverse (2335344102), we get a palindrome (4349779434).

The spelling of 2014435332 in words is "two billion, fourteen million, four hundred thirty-five thousand, three hundred thirty-two".