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10440304 = 24731297
BaseRepresentation
bin100111110100…
…111001110000
3201122102101221
4213310321300
510133042204
61011434424
7154512130
oct47647160
921572357
1010440304
115990a56
1235b5a14
1322170c4
14155aac0
15db3654
hex9f4e70

10440304 has 60 divisors (see below), whose sum is σ = 24133872. Its totient is φ = 4285440.

The previous prime is 10440301. The next prime is 10440341. The reversal of 10440304 is 40304401.

It is a super-2 number, since 2×104403042 = 217999895224832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10440301) by changing a digit.

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, 107584 + ... + 107680.

Almost surely, 210440304 is an apocalyptic number.

10440304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10440304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12066936).

10440304 is an abundant number, since it is smaller than the sum of its proper divisors (13693568).

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

10440304 is an equidigital number, since it uses as much as digits as its factorization.

10440304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 10440304 is about 3231.1459267573. The cubic root of 10440304 is about 218.5601842914.

Adding to 10440304 its reverse (40304401), we get a palindrome (50744705).

The spelling of 10440304 in words is "ten million, four hundred forty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 97 112 124 194 217 248 388 434 496 679 776 868 961 1358 1552 1736 1922 2716 3007 3472 3844 5432 6014 6727 7688 10864 12028 13454 15376 21049 24056 26908 42098 48112 53816 84196 93217 107632 168392 186434 336784 372868 652519 745736 1305038 1491472 2610076 5220152 10440304