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424214430 = 235172113433
BaseRepresentation
bin11001010010001…
…111111110011110
31002120020022210120
4121102033332132
51332044330210
6110032215410
713340522523
oct3122177636
91076208716
10424214430
111a8504642
12ba09a566
1369b6c073
14404a914a
1527398270
hex1948ff9e

424214430 has 96 divisors (see below), whose sum is σ = 1093617504. Its totient is φ = 105283584.

The previous prime is 424214419. The next prime is 424214431. The reversal of 424214430 is 34412424.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 424214430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424214431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 979494 + ... + 979926.

It is an arithmetic number, because the mean of its divisors is an integer number (11391849).

Almost surely, 2424214430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424214430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546808752).

424214430 is an abundant number, since it is smaller than the sum of its proper divisors (669403074).

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

424214430 is a wasteful number, since it uses less digits than its factorization.

424214430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 424214430 is about 20596.4664445142. The cubic root of 424214430 is about 751.3837742106.

Adding to 424214430 its reverse (34412424), we get a palindrome (458626854).

The spelling of 424214430 in words is "four hundred twenty-four million, two hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 113 170 226 255 289 339 433 510 565 578 678 866 867 1130 1299 1445 1695 1734 1921 2165 2598 2890 3390 3842 4330 4335 5763 6495 7361 8670 9605 11526 12990 14722 19210 22083 28815 32657 36805 44166 48929 57630 65314 73610 97858 97971 110415 125137 146787 163285 195942 220830 244645 250274 293574 326570 375411 489290 489855 625685 733935 750822 831793 979710 1251370 1467870 1663586 1877055 2495379 3754110 4158965 4990758 8317930 12476895 14140481 24953790 28280962 42421443 70702405 84842886 141404810 212107215 424214430