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2340440424 = 2332712233797
BaseRepresentation
bin1000101110000000…
…0100100101101000
320001002221200200200
42023200010211220
514243123043144
61024123432200
7111666262320
oct21340044550
96032850620
102340440424
11aa1132593
12553985660
132b3b642ba
14182b98280
15da70dc69
hex8b804968

2340440424 has 96 divisors (see below), whose sum is σ = 7252053120. Its totient is φ = 667974528.

The previous prime is 2340440423. The next prime is 2340440437. The reversal of 2340440424 is 4240440432.

It is a happy number.

2340440424 is a `hidden beast` number, since 234 + 0 + 4 + 4 + 0 + 424 = 666.

It is a super-2 number, since 2×23404404242 = 10955322756586599552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2340440423) 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 23 ways as a sum of consecutive naturals, for example, 614494 + ... + 618290.

It is an arithmetic number, because the mean of its divisors is an integer number (75542220).

Almost surely, 22340440424 is an apocalyptic number.

2340440424 is a gapful number since it is divisible by the number (24) 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 2340440424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626026560).

2340440424 is an abundant number, since it is smaller than the sum of its proper divisors (4911612696).

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

2340440424 is a wasteful number, since it uses less digits than its factorization.

2340440424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039 (or 5032 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2340440424 is about 48378.0985984360. The cubic root of 2340440424 is about 1327.6976815213.

Adding to 2340440424 its reverse (4240440432), we get a palindrome (6580880856).

The spelling of 2340440424 in words is "two billion, three hundred forty million, four hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1223 2446 3669 3797 4892 7338 7594 8561 9784 11007 11391 14676 15188 17122 22014 22782 25683 26579 29352 30376 34173 34244 44028 45564 51366 53158 68346 68488 77049 79737 88056 91128 102732 106316 136692 154098 159474 205464 212632 239211 273384 308196 318948 478422 616392 637896 956844 1913688 4643731 9287462 13931193 18574924 27862386 32506117 37149848 41793579 55724772 65012234 83587158 97518351 111449544 130024468 167174316 195036702 260048936 292555053 334348632 390073404 585110106 780146808 1170220212 2340440424