Search a number
-
+
34243242 = 23112101467
BaseRepresentation
bin1000001010100…
…0001010101010
32101102201220020
42002220022222
532231240432
63221541310
7564030345
oct202501252
971381806
1034243242
1118369500
12b574836
13712c497
14479545c
15301622c
hex20a82aa

34243242 has 48 divisors (see below), whose sum is σ = 76186656. Its totient is φ = 10252000.

The previous prime is 34243207. The next prime is 34243243. The reversal of 34243242 is 24234243.

It is not an unprimeable number, because it can be changed into a prime (34243243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73093 + ... + 73559.

It is an arithmetic number, because the mean of its divisors is an integer number (1587222).

Almost surely, 234243242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34243242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38093328).

34243242 is an abundant number, since it is smaller than the sum of its proper divisors (41943414).

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

34243242 is a wasteful number, since it uses less digits than its factorization.

34243242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 584 counting only the distinct ones).

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

The square root of 34243242 is about 5851.7725519709. The cubic root of 34243242 is about 324.7319035596.

Adding to 34243242 its reverse (24234243), we get a palindrome (58477485).

It can be divided in two parts, 3424 and 3242, that added together give a palindrome (6666).

The spelling of 34243242 in words is "thirty-four million, two hundred forty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 467 606 726 934 1111 1401 2222 2802 3333 5137 6666 10274 12221 15411 24442 30822 36663 47167 56507 73326 94334 113014 141501 169521 283002 339042 518837 1037674 1556511 3113022 5707207 11414414 17121621 34243242