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343400242010304 = 26349957118613373
BaseRepresentation
bin100111000010100100001100…
…1011100001101100011000000
31200000212202001022002122100010
41032011020121130031203000
5330002232143423312204
63214203520543224520
7132221564056666263
oct11605103134154300
91600782038078303
10343400242010304
119a466252209586
12326213262a8140
131197c67201366b
1460b29361a6cda
1529a7965a6ed89
hex138521970d8c0

343400242010304 has 224 divisors, whose sum is σ = 912755587744000. Its totient is φ = 113942221516800.

The previous prime is 343400242010299. The next prime is 343400242010327. The reversal of 343400242010304 is 403010242004343.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 101808549162 + ... + 101808552534.

It is an arithmetic number, because the mean of its divisors is an integer number (4074801731000).

Almost surely, 2343400242010304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343400242010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456377793872000).

343400242010304 is an abundant number, since it is smaller than the sum of its proper divisors (569355345733696).

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

343400242010304 is a wasteful number, since it uses less digits than its factorization.

343400242010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6319 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 343400242010304 its reverse (403010242004343), we get a palindrome (746410484014647).

The spelling of 343400242010304 in words is "three hundred forty-three trillion, four hundred billion, two hundred forty-two million, ten thousand, three hundred four".