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2644416324 = 22321137317903
BaseRepresentation
bin1001110110011110…
…1001011101000100
320211021221021020100
42131213221131010
520403432310244
61114223004100
7122350111404
oct23547513504
96737837210
102644416324
111137782140
12619739630
13331b249b4
141b12c4804
15107255b69
hex9d9e9744

2644416324 has 72 divisors (see below), whose sum is σ = 7312136832. Its totient is φ = 799145280.

The previous prime is 2644416311. The next prime is 2644416361. The reversal of 2644416324 is 4236144462.

2644416324 is a `hidden beast` number, since 2 + 644 + 4 + 1 + 6 + 3 + 2 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 138757 + ... + 156659.

It is an arithmetic number, because the mean of its divisors is an integer number (101557456).

Almost surely, 22644416324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2644416324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656068416).

2644416324 is an abundant number, since it is smaller than the sum of its proper divisors (4667720508).

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

2644416324 is a wasteful number, since it uses less digits than its factorization.

2644416324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18297 (or 18292 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 2644416324 is about 51423.8886510929. Note that the first 3 decimals coincide. The cubic root of 2644416324 is about 1382.8548900942.

The spelling of 2644416324 in words is "two billion, six hundred forty-four million, four hundred sixteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 373 396 746 1119 1492 2238 3357 4103 4476 6714 8206 12309 13428 16412 17903 24618 35806 36927 49236 53709 71612 73854 107418 147708 161127 196933 214836 322254 393866 590799 644508 787732 1181598 1772397 2363196 3544794 6677819 7089588 13355638 20033457 26711276 40066914 60100371 73456009 80133828 120200742 146912018 220368027 240401484 293824036 440736054 661104081 881472108 1322208162 2644416324