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343412102403240 = 2335131496832163137
BaseRepresentation
bin100111000010101001101110…
…0011000000001010010101000
31200000220212122212112000210120
41032011103130120001102220
5330002430441203400430
63214213201504443240
7132222464014450323
oct11605233430012250
91600825585460716
10343412102403240
119a470289087312
1232623696319520
1311980812277950
1460b333d4437ba
1529a7e0be15610
hex13854dc6014a8

343412102403240 has 256 divisors, whose sum is σ = 1118567312352000. Its totient is φ = 83841905393664.

The previous prime is 343412102403133. The next prime is 343412102403247. The reversal of 343412102403240 is 42304201214343.

It is not an unprimeable number, because it can be changed into a prime (343412102403247) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 157674952 + ... + 159838088.

It is an arithmetic number, because the mean of its divisors is an integer number (4369403563875).

Almost surely, 2343412102403240 is an apocalyptic number.

343412102403240 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 343412102403240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559283656176000).

343412102403240 is an abundant number, since it is smaller than the sum of its proper divisors (775155209948760).

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

343412102403240 is a wasteful number, since it uses less digits than its factorization.

343412102403240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163996 (or 2163992 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 343412102403240 its reverse (42304201214343), we get a palindrome (385716303617583).

The spelling of 343412102403240 in words is "three hundred forty-three trillion, four hundred twelve billion, one hundred two million, four hundred three thousand, two hundred forty".