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2342014752 = 253711378563
BaseRepresentation
bin1000101110011000…
…0100111100100000
320001012220200021010
42023212010330200
514244023433002
61024221300520
7112015540230
oct21346047440
96035820233
102342014752
11aa2008390
12554404740
132b4295a5c
14183087cc0
15da92046c
hex8b984f20

2342014752 has 192 divisors, whose sum is σ = 7872850944. Its totient is φ = 591805440.

The previous prime is 2342014739. The next prime is 2342014757. The reversal of 2342014752 is 2574102432.

It is not an unprimeable number, because it can be changed into a prime (2342014757) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 269223 + ... + 277785.

It is an arithmetic number, because the mean of its divisors is an integer number (41004432).

Almost surely, 22342014752 is an apocalyptic number.

2342014752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342014752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936425472).

2342014752 is an abundant number, since it is smaller than the sum of its proper divisors (5530836192).

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

2342014752 is a wasteful number, since it uses less digits than its factorization.

2342014752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8631 (or 8623 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2342014752 is about 48394.3669449245. The cubic root of 2342014752 is about 1327.9953125591.

The spelling of 2342014752 in words is "two billion, three hundred forty-two million, fourteen thousand, seven hundred fifty-two".