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9964304 = 247432069
BaseRepresentation
bin100110000000…
…101100010000
3200202020110022
4212000230100
510022324204
6553323012
7150460310
oct46005420
920666408
109964304
115696369
123406468
1320ab54c
141475440
15d1c5be
hex980b10

9964304 has 40 divisors (see below), whose sum is σ = 22587840. Its totient is φ = 4169088.

The previous prime is 9964301. The next prime is 9964321. The reversal of 9964304 is 4034699.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9964301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3782 + ... + 5850.

It is an arithmetic number, because the mean of its divisors is an integer number (564696).

Almost surely, 29964304 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 9964304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11293920).

9964304 is an abundant number, since it is smaller than the sum of its proper divisors (12623536).

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

9964304 is a wasteful number, since it uses less digits than its factorization.

9964304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 9964304 is about 3156.6285812556. The cubic root of 9964304 is about 215.1868143734.

The spelling of 9964304 in words is "nine million, nine hundred sixty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 688 1204 2069 2408 4138 4816 8276 14483 16552 28966 33104 57932 88967 115864 177934 231728 355868 622769 711736 1245538 1423472 2491076 4982152 9964304