[go: up one dir, main page]

Search a number
-
+
34430424 = 23372937191
BaseRepresentation
bin1000001101010…
…1110111011000
32101210020122220
42003111313120
532303233144
63225544040
7565440150
oct203256730
971706586
1034430424
11184870a6
12b645020
137196742
144803760
153051919
hex20d5dd8

34430424 has 128 divisors (see below), whose sum is σ = 105062400. Its totient is φ = 9192960.

The previous prime is 34430419. The next prime is 34430449. The reversal of 34430424 is 42403443.

It is a happy number.

34430424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 34430394 and 34430403.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 180169 + ... + 180359.

It is an arithmetic number, because the mean of its divisors is an integer number (820800).

Almost surely, 234430424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34430424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52531200).

34430424 is an abundant number, since it is smaller than the sum of its proper divisors (70631976).

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

34430424 is a wasteful number, since it uses less digits than its factorization.

34430424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 34430424 is about 5867.7443707101. The cubic root of 34430424 is about 325.3225169222.

Adding to 34430424 its reverse (42403443), we get a palindrome (76833867).

The spelling of 34430424 in words is "thirty-four million, four hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 37 42 56 58 74 84 87 111 116 148 168 174 191 203 222 232 259 296 348 382 406 444 518 573 609 696 764 777 812 888 1036 1073 1146 1218 1337 1528 1554 1624 2072 2146 2292 2436 2674 3108 3219 4011 4292 4584 4872 5348 5539 6216 6438 7067 7511 8022 8584 10696 11078 12876 14134 15022 16044 16617 21201 22156 22533 25752 28268 30044 32088 33234 38773 42402 44312 45066 49469 56536 60088 66468 77546 84804 90132 98938 116319 132936 148407 155092 169608 180264 197876 204943 232638 296814 310184 395752 409886 465276 593628 614829 819772 930552 1187256 1229658 1434601 1639544 2459316 2869202 4303803 4918632 5738404 8607606 11476808 17215212 34430424