Search a number
-
+
424134018 = 2327111032971
BaseRepresentation
bin11001010001111…
…100010110000010
31002120002020111100
4121101330112002
51332034242033
6110030355230
713340036220
oct3121742602
91076066440
10424134018
111a845a190
12ba05bb16
1369b41599
1440487b10
152737e513
hex1947c582

424134018 has 96 divisors (see below), whose sum is σ = 1157225472. Its totient is φ = 109058400.

The previous prime is 424134001. The next prime is 424134031. The reversal of 424134018 is 810431424.

It is a junction number, because it is equal to n+sod(n) for n = 424133982 and 424134000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141273 + ... + 144243.

It is an arithmetic number, because the mean of its divisors is an integer number (12054432).

Almost surely, 2424134018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424134018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578612736).

424134018 is an abundant number, since it is smaller than the sum of its proper divisors (733091454).

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

424134018 is a wasteful number, since it uses less digits than its factorization.

424134018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 424134018 is about 20594.5142695816. The cubic root of 424134018 is about 751.3362950068.

The spelling of 424134018 in words is "four hundred twenty-four million, one hundred thirty-four thousand, eighteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 103 126 154 198 206 231 309 462 618 693 721 927 1133 1386 1442 1854 2163 2266 2971 3399 4326 5942 6489 6798 7931 8913 10197 12978 15862 17826 20394 20797 23793 26739 32681 41594 47586 53478 62391 65362 71379 98043 124782 142758 187173 196086 228767 294129 306013 374346 457534 588258 612026 686301 918039 1372602 1836078 2058903 2142091 2754117 3366143 4117806 4284182 5508234 6426273 6732286 10098429 12852546 19278819 20196858 23563001 30295287 38557638 47126002 60590574 70689003 141378006 212067009 424134018