Search a number
-
+
10430341446 = 2376717412129
BaseRepresentation
bin10011011011011001…
…00110000101000110
3222220220112020121110
421231230212011012
5132330131411241
64442554225450
7516321303510
oct115554460506
928826466543
1010430341446
1144727239a8
122031125286
13ca2bc3295
1470d384bb0
15410a66816
hex26db26146

10430341446 has 64 divisors (see below), whose sum is σ = 24221882880. Its totient is φ = 2932554240.

The previous prime is 10430341433. The next prime is 10430341451. The reversal of 10430341446 is 64414303401.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4898110 + ... + 4900238.

It is an arithmetic number, because the mean of its divisors is an integer number (378466920).

Almost surely, 210430341446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10430341446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12110941440).

10430341446 is an abundant number, since it is smaller than the sum of its proper divisors (13791541434).

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

10430341446 is a wasteful number, since it uses less digits than its factorization.

10430341446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10430341446 its reverse (64414303401), we get a palindrome (74844644847).

The spelling of 10430341446 in words is "ten billion, four hundred thirty million, three hundred forty-one thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 67 134 201 402 469 938 1407 1741 2129 2814 3482 4258 5223 6387 10446 12187 12774 14903 24374 29806 36561 44709 73122 89418 116647 142643 233294 285286 349941 427929 699882 816529 855858 998501 1633058 1997002 2449587 2995503 3706589 4899174 5991006 7413178 11119767 22239534 25946123 51892246 77838369 155676738 248341463 496682926 745024389 1490048778 1738390241 3476780482 5215170723 10430341446