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2414324340 = 223354470971
BaseRepresentation
bin1000111111100111…
…1010101001110100
320020020222101101000
42033321322221310
514421031334330
61035323203300
7113554263321
oct21771725164
96206871330
102414324340
11102990667a
12574676530
132c62628ac
1418c90bb48
15e1e55560
hex8fe7aa74

2414324340 has 48 divisors (see below), whose sum is σ = 7511232960. Its totient is φ = 643819680.

The previous prime is 2414324323. The next prime is 2414324347. The reversal of 2414324340 is 434234142.

It is a happy number.

2414324340 is a `hidden beast` number, since 2 + 414 + 3 + 243 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414324347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2234946 + ... + 2236025.

It is an arithmetic number, because the mean of its divisors is an integer number (156484020).

Almost surely, 22414324340 is an apocalyptic number.

2414324340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414324340 is an abundant number, since it is smaller than the sum of its proper divisors (5096908620).

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

2414324340 is a wasteful number, since it uses less digits than its factorization.

2414324340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470989 (or 4470981 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2414324340 is about 49135.7745436052. The cubic root of 2414324340 is about 1341.5242808831.

Adding to 2414324340 its reverse (434234142), we get a palindrome (2848558482).

The spelling of 2414324340 in words is "two billion, four hundred fourteen million, three hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 4470971 8941942 13412913 17883884 22354855 26825826 40238739 44709710 53651652 67064565 80477478 89419420 120716217 134129130 160954956 201193695 241432434 268258260 402387390 482864868 603581085 804774780 1207162170 2414324340