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10034368 = 26831889
BaseRepresentation
bin100110010001…
…110011000000
3200212210120021
4212101303000
510032044433
6555023224
7151201501
oct46216300
920783507
1010034368
115733a73
12343ab14
1321043c6
141492ba8
15d3322d
hex991cc0

10034368 has 28 divisors (see below), whose sum is σ = 20162520. Its totient is φ = 4954112.

The previous prime is 10034357. The next prime is 10034383. The reversal of 10034368 is 86343001.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4368 + ... + 6256.

It is an arithmetic number, because the mean of its divisors is an integer number (720090).

Almost surely, 210034368 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 10034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10081260).

10034368 is an abundant number, since it is smaller than the sum of its proper divisors (10128152).

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

10034368 is an equidigital number, since it uses as much as digits as its factorization.

10034368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 10034368 is about 3167.7070571630. The cubic root of 10034368 is about 215.6899988320.

Adding to 10034368 its reverse (86343001), we get a palindrome (96377369).

The spelling of 10034368 in words is "ten million, thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 83 166 332 664 1328 1889 2656 3778 5312 7556 15112 30224 60448 120896 156787 313574 627148 1254296 2508592 5017184 10034368