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340485648012 = 223343199936677
BaseRepresentation
bin1001111010001101000…
…01101010111010001100
31012112212000211001002000
410331012201222322030
521034303311214022
6420230021032300
733412360153506
oct4750641527214
91175760731060
10340485648012
111214432a9934
1255ba3b55690
13261526ac853
14126a000ad76
158ccbb266ac
hex4f4686ae8c

340485648012 has 96 divisors (see below), whose sum is σ = 903745920000. Its totient is φ = 110797315776.

The previous prime is 340485647989. The next prime is 340485648017. The reversal of 340485648012 is 210846584043.

340485648012 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 8 + 564 + 80 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (340485648017) 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 31 ways as a sum of consecutive naturals, for example, 9265018 + ... + 9301694.

It is an arithmetic number, because the mean of its divisors is an integer number (9414020000).

Almost surely, 2340485648012 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 340485648012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451872960000).

340485648012 is an abundant number, since it is smaller than the sum of its proper divisors (563260271988).

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

340485648012 is a wasteful number, since it uses less digits than its factorization.

340485648012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38732 (or 38724 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 340485648012 in words is "three hundred forty billion, four hundred eighty-five million, six hundred forty-eight thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 1999 2322 3998 4644 5997 7996 11994 17991 23988 35982 36677 53973 71964 73354 85957 107946 110031 146708 171914 215892 220062 257871 330093 343828 440124 515742 660186 773613 990279 1031484 1320372 1547226 1577111 1980558 2320839 3094452 3154222 3961116 4641678 4731333 6308444 9283356 9462666 14193999 18925332 28387998 42581997 56775996 73317323 85163994 146634646 170327988 219951969 293269292 439903938 659855907 879807876 1319711814 1979567721 2639423628 3152644889 3959135442 6305289778 7918270884 9457934667 12610579556 18915869334 28373804001 37831738668 56747608002 85121412003 113495216004 170242824006 340485648012