Search a number
-
+
423470106 = 23431374353
BaseRepresentation
bin11001001111011…
…010010000011010
31002111211111210000
4121033122100122
51331402020411
6110004233430
713331302503
oct3117322032
91074744700
10423470106
111a80463a4
12b999b876
136996b337
1440353baa
152729c956
hex193da41a

423470106 has 160 divisors (see below), whose sum is σ = 1048785408. Its totient is φ = 127370880.

The previous prime is 423470101. The next prime is 423470107. The reversal of 423470106 is 601074324.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 423470106.

It is not an unprimeable number, because it can be changed into a prime (423470101) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7989976 + ... + 7990028.

Almost surely, 2423470106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423470106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524392704).

423470106 is an abundant number, since it is smaller than the sum of its proper divisors (625315302).

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

423470106 is a wasteful number, since it uses less digits than its factorization.

423470106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 423470106 is about 20578.3892955693. The cubic root of 423470106 is about 750.9440591711.

The spelling of 423470106 in words is "four hundred twenty-three million, four hundred seventy thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 31 37 43 53 54 62 74 81 86 93 106 111 129 159 162 186 222 258 279 318 333 387 477 558 666 774 837 954 999 1147 1161 1333 1431 1591 1643 1674 1961 1998 2279 2294 2322 2511 2666 2862 2997 3182 3286 3441 3483 3922 3999 4293 4558 4773 4929 5022 5883 5994 6837 6882 6966 7998 8586 9546 9858 10323 11766 11997 13674 14319 14787 17649 20511 20646 23994 28638 29574 30969 35298 35991 41022 42957 44361 49321 52947 60791 61533 61938 70649 71982 84323 85914 88722 92907 98642 105894 107973 121582 123066 128871 133083 141298 147963 158841 168646 182373 184599 185814 211947 215946 252969 257742 266166 295926 317682 364746 369198 423894 443889 505938 547119 635841 758907 887778 1094238 1271682 1331667 1517814 1641357 1907523 2276721 2614013 2663334 3282714 3815046 3995001 4553442 4924071 5228026 5722569 6830163 7842039 7990002 9848142 11445138 13660326 15684078 23526117 47052234 70578351 141156702 211735053 423470106