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10344620 = 22511133617
BaseRepresentation
bin100111011101…
…100010101100
3201110120011002
4213131202230
510122011440
61005415432
7153633146
oct47354254
921416132
1010344620
115926080
12356a578
1321b26a0
141533c96
15d95115
hex9dd8ac

10344620 has 48 divisors (see below), whose sum is σ = 25528608. Its totient is φ = 3471360.

The previous prime is 10344613. The next prime is 10344643. The reversal of 10344620 is 2644301.

It is a happy number.

It is a super-2 number, since 2×103446202 = 214022325888800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10344592 and 10344601.

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, 1052 + ... + 4668.

It is an arithmetic number, because the mean of its divisors is an integer number (531846).

Almost surely, 210344620 is an apocalyptic number.

10344620 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 10344620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12764304).

10344620 is an abundant number, since it is smaller than the sum of its proper divisors (15183988).

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

10344620 is a wasteful number, since it uses less digits than its factorization.

10344620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 10344620 is about 3216.3053337642. The cubic root of 10344620 is about 217.8904423831.

Adding to 10344620 its reverse (2644301), we get a palindrome (12988921).

The spelling of 10344620 in words is "ten million, three hundred forty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 3617 7234 14468 18085 36170 39787 47021 72340 79574 94042 159148 188084 198935 235105 397870 470210 517231 795740 940420 1034462 2068924 2586155 5172310 10344620