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2396160768 = 2834766383
BaseRepresentation
bin1000111011010010…
…1000001100000000
320011222210120122010
42032310220030000
514401404121033
61033434012520
7113244013311
oct21664501400
96158716563
102396160768
11101a630061
1256a577140
132c2573311
1418a340608
15e0568863
hex8ed28300

2396160768 has 72 divisors (see below), whose sum is σ = 6513067008. Its totient is φ = 781714432.

The previous prime is 2396160763. The next prime is 2396160787. The reversal of 2396160768 is 8670616932.

It is a super-2 number, since 2×23961607682 = 11483172852204699648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2396160763) 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 7 ways as a sum of consecutive naturals, for example, 2905 + ... + 69287.

It is an arithmetic number, because the mean of its divisors is an integer number (90459264).

Almost surely, 22396160768 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 2396160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256533504).

2396160768 is an abundant number, since it is smaller than the sum of its proper divisors (4116906240).

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

2396160768 is an equidigital number, since it uses as much as digits as its factorization.

2396160768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66449 (or 66435 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 2396160768 is about 48950.5951751355. The cubic root of 2396160768 is about 1338.1516001440.

The spelling of 2396160768 in words is "two billion, three hundred ninety-six million, one hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 564 752 768 1128 1504 2256 3008 4512 6016 9024 12032 18048 36096 66383 132766 199149 265532 398298 531064 796596 1062128 1593192 2124256 3120001 3186384 4248512 6240002 6372768 8497024 9360003 12480004 12745536 16994048 18720006 24960008 25491072 37440012 49920016 50982144 74880024 99840032 149760048 199680064 299520096 399360128 599040192 798720256 1198080384 2396160768