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9664368 = 24373587
BaseRepresentation
bin100100110111…
…011101110000
3200012000000120
4210313131300
54433224433
6543050240
7145101000
oct44673560
920160016
109664368
115500a8a
1232a0980
132004b7c
1413d8000
15cad7b3
hex937770

9664368 has 80 divisors (see below), whose sum is σ = 29164800. Its totient is φ = 2756544.

The previous prime is 9664367. The next prime is 9664399. The reversal of 9664368 is 8634669.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9664367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16171 + ... + 16757.

It is an arithmetic number, because the mean of its divisors is an integer number (364560).

Almost surely, 29664368 is an apocalyptic number.

9664368 is a gapful number since it is divisible by the number (98) 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 9664368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14582400).

9664368 is an abundant number, since it is smaller than the sum of its proper divisors (19500432).

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

9664368 is a wasteful number, since it uses less digits than its factorization.

9664368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 599 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 9664368 is about 3108.7566646491. The cubic root of 9664368 is about 213.0056645102.

The spelling of 9664368 in words is "nine million, six hundred sixty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 587 588 686 784 1029 1174 1176 1372 1761 2058 2348 2352 2744 3522 4109 4116 4696 5488 7044 8218 8232 9392 12327 14088 16436 16464 24654 28176 28763 32872 49308 57526 65744 86289 98616 115052 172578 197232 201341 230104 345156 402682 460208 604023 690312 805364 1208046 1380624 1610728 2416092 3221456 4832184 9664368