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10442304 = 26336043
BaseRepresentation
bin100111110101…
…011001000000
3201122112011000
4213311121000
510133123204
61011452000
7154521015
oct47653100
921575130
1010442304
115992504
1235b7000
132217ca2
14155b70c
15db4039
hex9f5640

10442304 has 56 divisors (see below), whose sum is σ = 30703520. Its totient is φ = 3480192.

The previous prime is 10442303. The next prime is 10442317. The reversal of 10442304 is 40324401.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (10442303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1294 + ... + 4749.

Almost surely, 210442304 is an apocalyptic number.

It is an amenable number.

10442304 is an abundant number, since it is smaller than the sum of its proper divisors (20261216).

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

10442304 is an equidigital number, since it uses as much as digits as its factorization.

10442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6064 (or 6048 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 10442304 is about 3231.4553996613. The cubic root of 10442304 is about 218.5741395830.

Adding to 10442304 its reverse (40324401), we get a palindrome (50766705).

The spelling of 10442304 in words is "ten million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 6043 12086 18129 24172 36258 48344 54387 72516 96688 108774 145032 163161 193376 217548 290064 326322 386752 435096 580128 652644 870192 1160256 1305288 1740384 2610576 3480768 5221152 10442304