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10411344 = 2432174253
BaseRepresentation
bin100111101101…
…110101010000
3201120221200100
4213231311100
510131130334
61011052400
7154331526
oct47556520
921527610
1010411344
115971219
1235a1100
132206b78
141550316
15da9c99
hex9edd50

10411344 has 60 divisors (see below), whose sum is σ = 30858516. Its totient is φ = 3265536.

The previous prime is 10411321. The next prime is 10411363. The reversal of 10411344 is 44311401.

It can be written as a sum of positive squares in 2 ways, for example, as 4359744 + 6051600 = 2088^2 + 2460^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 322 + ... + 4574.

Almost surely, 210411344 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 10411344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15429258).

10411344 is an abundant number, since it is smaller than the sum of its proper divisors (20447172).

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

10411344 is a wasteful number, since it uses less digits than its factorization.

10411344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4284 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10411344 is about 3226.6614325026. The cubic root of 10411344 is about 218.3579116255.

Adding to 10411344 its reverse (44311401), we get a palindrome (54722745).

The spelling of 10411344 in words is "ten million, four hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 4253 8506 12759 17012 25518 34024 38277 51036 68048 72301 76554 102072 144602 153108 204144 216903 289204 306216 433806 578408 612432 650709 867612 1156816 1301418 1735224 2602836 3470448 5205672 10411344