Search a number
-
+
341534164356630 = 23357272973537773
BaseRepresentation
bin100110110100111111001111…
…0100010111000111000010110
31122210021100101010202212122000
41031221332132202320320112
5324231143432033403010
63210214343515020130
7131640012656440500
oct11551763642707026
91583240333685560
10341534164356630
119990690a002763
123237b73873a646
13118756c21570cb
14604a4adac0d70
152974149e3c7c0
hex1369f9e8b8e16

341534164356630 has 192 divisors, whose sum is σ = 1059598407718080. Its totient is φ = 78054231564288.

The previous prime is 341534164356617. The next prime is 341534164356683. The reversal of 341534164356630 is 36653461435143.

341534164356630 is a `hidden beast` number, since 3 + 4 + 1 + 5 + 3 + 4 + 1 + 6 + 43 + 566 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 94770424 + ... + 98308196.

It is an arithmetic number, because the mean of its divisors is an integer number (5518741706865).

Almost surely, 2341534164356630 is an apocalyptic number.

341534164356630 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 341534164356630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529799203859040).

341534164356630 is an abundant number, since it is smaller than the sum of its proper divisors (718064243361450).

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

341534164356630 is a wasteful number, since it uses less digits than its factorization.

341534164356630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545100 (or 3545087 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 54.

The spelling of 341534164356630 in words is "three hundred forty-one trillion, five hundred thirty-four billion, one hundred sixty-four million, three hundred fifty-six thousand, six hundred thirty".