Search a number
-
+
34310500620 = 223511239443491
BaseRepresentation
bin11111111101000100…
…001011000100001100
310021120011021000121020
4133331010023010030
51030231442004440
623432333034140
72323150305024
oct377504130414
9107504230536
1034310500620
1113607423a40
126796625950
13330a41cc96
141936b06a84
15d5c2843d0
hex7fd10b10c

34310500620 has 192 divisors, whose sum is σ = 105693880320. Its totient is φ = 8247366400.

The previous prime is 34310500607. The next prime is 34310500621. The reversal of 34310500620 is 2600501343.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34310500621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69878575 + ... + 69879065.

It is an arithmetic number, because the mean of its divisors is an integer number (550488960).

Almost surely, 234310500620 is an apocalyptic number.

34310500620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34310500620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52846940160).

34310500620 is an abundant number, since it is smaller than the sum of its proper divisors (71383379700).

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

34310500620 is a wasteful number, since it uses less digits than its factorization.

34310500620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The spelling of 34310500620 in words is "thirty-four billion, three hundred ten million, five hundred thousand, six hundred twenty".