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134324312304 = 24372132893797
BaseRepresentation
bin111110100011001011…
…0100101100011110000
3110211201021220001220210
41331012112211203300
54200044010443204
6141412512104120
712463452546600
oct1750626454360
9424637801823
10134324312304
1151a6a632a56
1222048b35040
13c888a57200
146703920c00
1537627eb389
hex1f465a58f0

134324312304 has 360 divisors, whose sum is σ = 442125028080. Its totient is φ = 35018919936.

The previous prime is 134324312267. The next prime is 134324312411. The reversal of 134324312304 is 403213423431.

It is a happy number.

134324312304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35374534 + ... + 35378330.

It is an arithmetic number, because the mean of its divisors is an integer number (1228125078).

Almost surely, 2134324312304 is an apocalyptic number.

134324312304 is a gapful number since it is divisible by the number (14) 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 134324312304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221062514040).

134324312304 is an abundant number, since it is smaller than the sum of its proper divisors (307800715776).

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

134324312304 is a wasteful number, since it uses less digits than its factorization.

134324312304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 134324312304 its reverse (403213423431), we get a palindrome (537537735735).

The spelling of 134324312304 in words is "one hundred thirty-four billion, three hundred twenty-four million, three hundred twelve thousand, three hundred four".