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2340498240 = 2636579127
BaseRepresentation
bin1000101110000001…
…0010101101000000
320001010001122000000
42023200102231000
514243131420430
61024125000000
7111666623013
oct21340225500
96033048000
102340498240
11aa1171a73
125539b3000
132b3b84702
14182bb137a
15da720e60
hex8b812b40

2340498240 has 392 divisors, whose sum is σ = 8528547840. Its totient is φ = 611380224.

The previous prime is 2340498227. The next prime is 2340498247. The reversal of 2340498240 is 428940432.

2340498240 is a `hidden beast` number, since 2 + 3 + 404 + 9 + 8 + 240 = 666.

It is a super-2 number, since 2×23404982402 = 10955864022886195200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2340498195 and 2340498204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340498247) 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 55 ways as a sum of consecutive naturals, for example, 18429057 + ... + 18429183.

Almost surely, 22340498240 is an apocalyptic number.

2340498240 is a gapful number since it is divisible by the number (20) 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 2340498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264273920).

2340498240 is an abundant number, since it is smaller than the sum of its proper divisors (6188049600).

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

2340498240 is an equidigital number, since it uses as much as digits as its factorization.

2340498240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2340498240 is about 48378.6961378663. The cubic root of 2340498240 is about 1327.7086141555.

The spelling of 2340498240 in words is "two billion, three hundred forty million, four hundred ninety-eight thousand, two hundred forty".