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10305344 = 26723003
BaseRepresentation
bin100111010011…
…111101000000
3201101120021102
4213103331000
510114232334
61004513532
7153410510
oct47237500
921346242
1010305344
1158a9615
12354b8a8
13219a84a
141523840
15d8867e
hex9d3f40

10305344 has 28 divisors (see below), whose sum is σ = 23372064. Its totient is φ = 4416384.

The previous prime is 10305341. The next prime is 10305359. The reversal of 10305344 is 44350301.

10305344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×103053442 = 212400229916672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305341) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11054 + ... + 11949.

Almost surely, 210305344 is an apocalyptic number.

10305344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10305344 is an abundant number, since it is smaller than the sum of its proper divisors (13066720).

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

10305344 is an equidigital number, since it uses as much as digits as its factorization.

10305344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23022 (or 23012 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 10305344 is about 3210.1937636224. The cubic root of 10305344 is about 217.6143336867.

Adding to 10305344 its reverse (44350301), we get a palindrome (54655645).

The spelling of 10305344 in words is "ten million, three hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 23003 46006 92012 161021 184024 322042 368048 644084 736096 1288168 1472192 2576336 5152672 10305344