Search a number
-
+
420344442 = 23273103661
BaseRepresentation
bin11001000011011…
…111001001111010
31002021221201011200
4121003133021322
51330102010232
6105413235030
713262604000
oct3103371172
91067851150
10420344442
111a6301001
12b8932a76
136911572b
143db7ca70
1526d8177c
hex190df27a

420344442 has 96 divisors (see below), whose sum is σ = 1074028800. Its totient is φ = 118752480.

The previous prime is 420344437. The next prime is 420344443. The reversal of 420344442 is 244443024.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (420344443) 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, 635592 + ... + 636252.

It is an arithmetic number, because the mean of its divisors is an integer number (11187800).

Almost surely, 2420344442 is an apocalyptic number.

420344442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 420344442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537014400).

420344442 is an abundant number, since it is smaller than the sum of its proper divisors (653684358).

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

420344442 is a wasteful number, since it uses less digits than its factorization.

420344442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 420344442 is about 20502.3033340159. The cubic root of 420344442 is about 749.0919035916.

Adding to 420344442 its reverse (244443024), we get a palindrome (664787466).

The spelling of 420344442 in words is "four hundred twenty million, three hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 103 126 147 206 294 309 343 441 618 661 686 721 882 927 1029 1322 1442 1854 1983 2058 2163 3087 3966 4326 4627 5047 5949 6174 6489 9254 10094 11898 12978 13881 15141 27762 30282 32389 35329 41643 45423 64778 68083 70658 83286 90846 97167 105987 136166 194334 204249 211974 226723 291501 317961 408498 453446 476581 583002 612747 635922 680169 953162 1225494 1360338 1429743 2040507 2859486 3336067 4081014 4289229 6672134 8578458 10008201 20016402 23352469 30024603 46704938 60049206 70057407 140114814 210172221 420344442