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10364368 = 247293191
BaseRepresentation
bin100111100010…
…010111010000
3201111120020111
4213202113100
510123124433
61010051104
7154044550
oct47422720
921446214
1010364368
1159399a3
123579a94
1321bb681
14153b160
15d9adcd
hex9e25d0

10364368 has 40 divisors (see below), whose sum is σ = 23748480. Its totient is φ = 4287360.

The previous prime is 10364357. The next prime is 10364377. The reversal of 10364368 is 86346301.

It is a congruent number.

It is an unprimeable number.

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, 1653 + ... + 4843.

It is an arithmetic number, because the mean of its divisors is an integer number (593712).

Almost surely, 210364368 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 10364368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874240).

10364368 is an abundant number, since it is smaller than the sum of its proper divisors (13384112).

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

10364368 is a wasteful number, since it uses less digits than its factorization.

10364368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 10364368 is about 3219.3738521644. The cubic root of 10364368 is about 218.0290060442.

The spelling of 10364368 in words is "ten million, three hundred sixty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3191 3248 6382 12764 22337 25528 44674 51056 89348 92539 178696 185078 357392 370156 647773 740312 1295546 1480624 2591092 5182184 10364368