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2342041020 = 2233511478389
BaseRepresentation
bin1000101110011000…
…1011010110111100
320001012222000022000
42023212023112330
514244030303040
61024222022300
7112016006634
oct21346132674
96035860260
102342041020
11aa20260a0
12554417990
132b42a49b7
141830936c4
15da928130
hex8b98b5bc

2342041020 has 192 divisors, whose sum is σ = 8118835200. Its totient is φ = 555621120.

The previous prime is 2342040997. The next prime is 2342041021. The reversal of 2342041020 is 201402432.

2342041020 is a `hidden beast` number, since 234 + 2 + 0 + 410 + 20 = 666.

It is a super-2 number, since 2×23420410202 = 10970312278725280800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2342040984 and 2342041002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342041021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 274986 + ... + 283374.

It is an arithmetic number, because the mean of its divisors is an integer number (42285600).

Almost surely, 22342041020 is an apocalyptic number.

2342041020 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 2342041020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059417600).

2342041020 is an abundant number, since it is smaller than the sum of its proper divisors (5776794180).

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

2342041020 is a wasteful number, since it uses less digits than its factorization.

2342041020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8465 (or 8457 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2342041020 is about 48394.6383393863. The cubic root of 2342041020 is about 1328.0002774652. Note that the first 3 decimals are identical.

Adding to 2342041020 its reverse (201402432), we get a palindrome (2543443452).

The spelling of 2342041020 in words is "two billion, three hundred forty-two million, forty-one thousand, twenty".