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2834500032 = 2632713173181
BaseRepresentation
bin1010100011110011…
…0000100111000000
321022112121112001200
42220330300213000
521301113000112
61145133101200
7130145565330
oct25074604700
97275545050
102834500032
111225001911
12671327800
13362319570
141cc6450c0
15118ca1cdc
hexa8f309c0

2834500032 has 336 divisors, whose sum is σ = 10591019712. Its totient is φ = 703365120.

The previous prime is 2834500003. The next prime is 2834500043. The reversal of 2834500032 is 2300054382.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 2834499969 and 2834500005.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 889482 + ... + 892662.

It is an arithmetic number, because the mean of its divisors is an integer number (31520892).

Almost surely, 22834500032 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 2834500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295509856).

2834500032 is an abundant number, since it is smaller than the sum of its proper divisors (7756519680).

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

2834500032 is a wasteful number, since it uses less digits than its factorization.

2834500032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2834500032 is about 53240.0228399650. The cubic root of 2834500032 is about 1415.2249900493.

The spelling of 2834500032 in words is "two billion, eight hundred thirty-four million, five hundred thousand, thirty-two".