Search a number
-
+
34302213330 = 235721111318773
BaseRepresentation
bin11111111100100100…
…100011110011010010
310021112120122222120120
4133330210203303102
51030222331311310
623431435251110
72323020000600
oct377444436322
9107476588516
1034302213330
1113602783640
1267938a9a96
1333087aab68
14193598a870
15d5b698b70
hex7fc923cd2

34302213330 has 192 divisors, whose sum is σ = 105402342528. Its totient is φ = 7064279040.

The previous prime is 34302213287. The next prime is 34302213349. The reversal of 34302213330 is 3331220343.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34302213330.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1817824 + ... + 1836596.

It is an arithmetic number, because the mean of its divisors is an integer number (548970534).

Almost surely, 234302213330 is an apocalyptic number.

34302213330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34302213330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52701171264).

34302213330 is an abundant number, since it is smaller than the sum of its proper divisors (71100129198).

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

34302213330 is a wasteful number, since it uses less digits than its factorization.

34302213330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18921 (or 18914 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 34302213330 its reverse (3331220343), we get a palindrome (37633433673).

The spelling of 34302213330 in words is "thirty-four billion, three hundred two million, two hundred thirteen thousand, three hundred thirty".