Search a number
-
+
4243622430 = 235716832917
BaseRepresentation
bin1111110011110000…
…1000101000011110
3101221202010100121010
43330330020220132
532142331404210
61541031320050
7210106124025
oct37474105036
911852110533
104243622430
111888461383
129a5220026
135282402b8
142c384d8bc
1519c849920
hexfcf08a1e

4243622430 has 64 divisors (see below), whose sum is σ = 10346807808. Its totient is φ = 1113678720.

The previous prime is 4243622417. The next prime is 4243622437. The reversal of 4243622430 is 342263424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4243622437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1453332 + ... + 1456248.

It is an arithmetic number, because the mean of its divisors is an integer number (161668872).

Almost surely, 24243622430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4243622430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5173403904).

4243622430 is an abundant number, since it is smaller than the sum of its proper divisors (6103185378).

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

4243622430 is a wasteful number, since it uses less digits than its factorization.

4243622430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681.

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 4243622430 is about 65143.0919591633. The cubic root of 4243622430 is about 1618.9952655701.

Adding to 4243622430 its reverse (342263424), we get a palindrome (4585885854).

The spelling of 4243622430 in words is "four billion, two hundred forty-three million, six hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 683 710 1065 1366 2049 2130 2917 3415 4098 5834 6830 8751 10245 14585 17502 20490 29170 43755 48493 87510 96986 145479 207107 242465 290958 414214 484930 621321 727395 1035535 1242642 1454790 1992311 2071070 3106605 3984622 5976933 6213210 9961555 11953866 19923110 29884665 59769330 141454081 282908162 424362243 707270405 848724486 1414540810 2121811215 4243622430