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2340320503248 = 24327137319112809
BaseRepresentation
bin100010000011100101111…
…110001110010111010000
322021201202221220200000100
4202003211332032113100
5301320434022100443
64551043422252400
7331040216024130
oct42034576162720
98251687820010
102340320503248
11822584a03a42
123196a0727100
1313c8ca971810
14813b498cac0
1540d253823d3
hex220e5f8e5d0

2340320503248 has 480 divisors, whose sum is σ = 8214954209280. Its totient is φ = 605537648640.

The previous prime is 2340320503153. The next prime is 2340320503253. The reversal of 2340320503248 is 8423050230432.

2340320503248 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 320 + 5 + 0 + 324 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182702668 + ... + 182715476.

It is an arithmetic number, because the mean of its divisors is an integer number (17114487936).

Almost surely, 22340320503248 is an apocalyptic number.

2340320503248 is a gapful number since it is divisible by the number (28) 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 2340320503248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107477104640).

2340320503248 is an abundant number, since it is smaller than the sum of its proper divisors (5874633706032).

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

2340320503248 is a wasteful number, since it uses less digits than its factorization.

2340320503248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13107 (or 13098 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 2340320503248 in words is "two trillion, three hundred forty billion, three hundred twenty million, five hundred three thousand, two hundred forty-eight".