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10344020 = 22523113199
BaseRepresentation
bin100111011101…
…011001010100
3201110112022212
4213131121110
510122002040
61005412552
7153631331
oct47353124
921415285
1010344020
115925685
12356a158
1321b232b
141533988
15d94d65
hex9dd654

10344020 has 48 divisors (see below), whose sum is σ = 22982400. Its totient is φ = 3902976.

The previous prime is 10344017. The next prime is 10344067. The reversal of 10344020 is 2044301.

It is a junction number, because it is equal to n+sod(n) for n = 10343986 and 10344004.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51881 + ... + 52079.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 210344020 is an apocalyptic number.

10344020 is a gapful number since it is divisible by the number (10) 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 10344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491200).

10344020 is an abundant number, since it is smaller than the sum of its proper divisors (12638380).

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

10344020 is a wasteful number, since it uses less digits than its factorization.

10344020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 10344020 is about 3216.2120576853. The cubic root of 10344020 is about 217.8862296685.

Adding to 10344020 its reverse (2044301), we get a palindrome (12388321).

The spelling of 10344020 in words is "ten million, three hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 113 115 199 226 230 398 452 460 565 796 995 1130 1990 2260 2599 3980 4577 5198 9154 10396 12995 18308 22487 22885 25990 44974 45770 51980 89948 91540 112435 224870 449740 517201 1034402 2068804 2586005 5172010 10344020