Search a number
-
+
424355106 = 237232711621
BaseRepresentation
bin11001010010110…
…010010100100010
31002120111110202210
4121102302110202
51332113330411
6110035222550
713341646620
oct3122622442
91076443683
10424355106
111a85a02aa
12ba147a56
1369bbb0c6
1440504510
15273c4ca6
hex194b2522

424355106 has 64 divisors (see below), whose sum is σ = 1016487936. Its totient is φ = 115473600.

The previous prime is 424355093. The next prime is 424355111. The reversal of 424355106 is 601553424.

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, 260976 + ... + 262596.

It is an arithmetic number, because the mean of its divisors is an integer number (15882624).

Almost surely, 2424355106 is an apocalyptic number.

424355106 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 424355106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508243968).

424355106 is an abundant number, since it is smaller than the sum of its proper divisors (592132830).

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

424355106 is a wasteful number, since it uses less digits than its factorization.

424355106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 424355106 is about 20599.8812132498. The cubic root of 424355106 is about 751.4668218192.

The spelling of 424355106 in words is "four hundred twenty-four million, three hundred fifty-five thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 271 322 483 542 813 966 1621 1626 1897 3242 3794 4863 5691 6233 9726 11347 11382 12466 18699 22694 34041 37283 37398 43631 68082 74566 87262 111849 130893 223698 260981 261786 439291 521962 782943 878582 1317873 1565886 2635746 3075037 6150074 9225111 10103693 18450222 20207386 30311079 60622158 70725851 141451702 212177553 424355106