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67007340340 = 22516729200273
BaseRepresentation
bin111110011001111100…
…101101111100110100
320101221212010120120221
4332121330231330310
52044212334342330
650441023504124
74561334665243
oct763174557464
9211855116527
1067007340340
1126465995626
1210ba0758044
13641b433215
1433593a095a
151b22a1bb7a
hexf99f2df34

67007340340 has 24 divisors (see below), whose sum is σ = 140724528840. Its totient is φ = 26801200128.

The previous prime is 67007340287. The next prime is 67007340341. The reversal of 67007340340 is 4304370076.

It can be written as a sum of positive squares in 4 ways, for example, as 4804985124 + 62202355216 = 69318^2 + 249404^2 .

It is a junction number, because it is equal to n+sod(n) for n = 67007340296 and 67007340305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67007340341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234444 + ... + 434716.

It is an arithmetic number, because the mean of its divisors is an integer number (5863522035).

Almost surely, 267007340340 is an apocalyptic number.

It is an amenable number.

67007340340 is an abundant number, since it is smaller than the sum of its proper divisors (73717188500).

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

67007340340 is a wasteful number, since it uses less digits than its factorization.

67007340340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217011 (or 217009 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 34.

The spelling of 67007340340 in words is "sixty-seven billion, seven million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 16729 33458 66916 83645 167290 200273 334580 400546 801092 1001365 2002730 4005460 3350367017 6700734034 13401468068 16751835085 33503670170 67007340340