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10444304 = 2413149337
BaseRepresentation
bin100111110101…
…111000010000
3201122121220002
4213311320100
510133204204
61011505132
7154526603
oct47657020
921577802
1010444304
115993a62
1235b81a8
132218b80
14155c33a
15db491e
hex9f5e10

10444304 has 40 divisors (see below), whose sum is σ = 22003800. Its totient is φ = 4773888.

The previous prime is 10444283. The next prime is 10444327. The reversal of 10444304 is 40344401.

10444304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 204304 + 10240000 = 452^2 + 3200^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30824 + ... + 31160.

It is an arithmetic number, because the mean of its divisors is an integer number (550095).

Almost surely, 210444304 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 10444304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11001900).

10444304 is an abundant number, since it is smaller than the sum of its proper divisors (11559496).

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

10444304 is a wasteful number, since it uses less digits than its factorization.

10444304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 10444304 is about 3231.7648429303. The cubic root of 10444304 is about 218.5880930928.

Adding to 10444304 its reverse (40344401), we get a palindrome (50788705).

The spelling of 10444304 in words is "ten million, four hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 149 208 298 337 596 674 1192 1348 1937 2384 2696 3874 4381 5392 7748 8762 15496 17524 30992 35048 50213 70096 100426 200852 401704 652769 803408 1305538 2611076 5222152 10444304