Search a number
-
+
10342220 = 2257312383
BaseRepresentation
bin100111011100…
…111101001100
3201110102212012
4213130331030
510121422340
61005400352
7153623150
oct47347514
921412765
1010342220
115924299
1235690b8
1321b1575
141533060
15d94565
hex9dcf4c

10342220 has 48 divisors (see below), whose sum is σ = 25632768. Its totient is φ = 3430080.

The previous prime is 10342219. The next prime is 10342223. The reversal of 10342220 is 2224301.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10342195 and 10342204.

It is not an unprimeable number, because it can be changed into a prime (10342223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3149 + ... + 5531.

It is an arithmetic number, because the mean of its divisors is an integer number (534016).

Almost surely, 210342220 is an apocalyptic number.

10342220 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 10342220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12816384).

10342220 is an abundant number, since it is smaller than the sum of its proper divisors (15290548).

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

10342220 is a wasteful number, since it uses less digits than its factorization.

10342220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2428 counting only the distinct ones).

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

The square root of 10342220 is about 3215.9322132159. The cubic root of 10342220 is about 217.8735905474.

Adding to 10342220 its reverse (2224301), we get a palindrome (12566521).

The spelling of 10342220 in words is "ten million, three hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 2383 4340 4766 9532 11915 16681 23830 33362 47660 66724 73873 83405 147746 166810 295492 333620 369365 517111 738730 1034222 1477460 2068444 2585555 5171110 10342220