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10640304 = 2432193889
BaseRepresentation
bin101000100101…
…101110110000
3202000120202100
4220211232300
510210442204
61020020400
7156304203
oct50455660
922016670
1010640304
116008244
123691700
13228714c
1415ad93a
15e02a39
hexa25bb0

10640304 has 60 divisors (see below), whose sum is σ = 31353400. Its totient is φ = 3359232.

The previous prime is 10640299. The next prime is 10640309. The reversal of 10640304 is 40304601.

It is an interprime number because it is at equal distance from previous prime (10640299) and next prime (10640309).

It is a super-2 number, since 2×106403042 = 226432138424832, which contains 22 as substring.

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 (10640309) 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 11 ways as a sum of consecutive naturals, for example, 792 + ... + 4680.

Almost surely, 210640304 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 10640304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15676700).

10640304 is an abundant number, since it is smaller than the sum of its proper divisors (20713096).

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

10640304 is a wasteful number, since it uses less digits than its factorization.

10640304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10640304 is about 3261.9478843170. The cubic root of 10640304 is about 219.9469844705.

Adding to 10640304 its reverse (40304601), we get a palindrome (50944905).

The spelling of 10640304 in words is "ten million, six hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 3889 7778 11667 15556 23334 31112 35001 46668 62224 70002 73891 93336 140004 147782 186672 221673 280008 295564 443346 560016 591128 665019 886692 1182256 1330038 1773384 2660076 3546768 5320152 10640304