Search a number
-
+
642346122 = 2311173715473
BaseRepresentation
bin100110010010010…
…110110010001010
31122202200120020010
4212102112302022
52303420033442
6143423412350
721626565135
oct4622266212
91582616203
10642346122
112aa651170
1215b1540b6
13a3104282
146144b21c
153b5d4b9c
hex26496c8a

642346122 has 64 divisors (see below), whose sum is σ = 1524127104. Its totient is φ = 178237440.

The previous prime is 642346109. The next prime is 642346141. The reversal of 642346122 is 221643246.

It is a self number, because there is not a number n which added to its sum of digits gives 642346122.

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, 33778 + ... + 49250.

It is an arithmetic number, because the mean of its divisors is an integer number (23814486).

Almost surely, 2642346122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642346122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762063552).

642346122 is an abundant number, since it is smaller than the sum of its proper divisors (881780982).

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

642346122 is a wasteful number, since it uses less digits than its factorization.

642346122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15543.

The product of its digits is 13824, while the sum is 30.

The square root of 642346122 is about 25344.5481711551. The cubic root of 642346122 is about 862.8256265965.

Adding to 642346122 its reverse (221643246), we get a palindrome (863989368).

The spelling of 642346122 in words is "six hundred forty-two million, three hundred forty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 37 51 66 74 102 111 187 222 374 407 561 629 814 1122 1221 1258 1887 2442 3774 6919 13838 15473 20757 30946 41514 46419 92838 170203 263041 340406 510609 526082 572501 789123 1021218 1145002 1578246 1717503 2893451 3435006 5786902 6297511 8680353 9732517 12595022 17360706 18892533 19465034 29197551 37785066 58395102 107057687 214115374 321173061 642346122