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10005344 = 251911637
BaseRepresentation
bin100110001010…
…101101100000
3200211022202022
4212022231200
510030132334
6554241012
7151021046
oct46125540
920738668
1010005344
115714188
123426168
1320c412b
141486396
15d2982e
hex98ab60

10005344 has 24 divisors (see below), whose sum is σ = 19813248. Its totient is φ = 4973440.

The previous prime is 10005337. The next prime is 10005349. The reversal of 10005344 is 44350001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005349) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5294 + ... + 6930.

It is an arithmetic number, because the mean of its divisors is an integer number (825552).

Almost surely, 210005344 is an apocalyptic number.

It is an amenable number.

10005344 is a deficient number, since it is larger than the sum of its proper divisors (9807904).

10005344 is a wasteful number, since it uses less digits than its factorization.

10005344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 10005344 is about 3163.1225079026. The cubic root of 10005344 is about 215.4818398322.

Adding to 10005344 its reverse (44350001), we get a palindrome (54355345).

The spelling of 10005344 in words is "ten million, five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 191 382 764 1528 1637 3056 3274 6112 6548 13096 26192 52384 312667 625334 1250668 2501336 5002672 10005344