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66334340 = 22517375273
BaseRepresentation
bin1111110100001…
…0111010000100
311121211010121102
43331002322010
5113440144330
610325435232
71433555402
oct375027204
9147733542
1066334340
1134497a76
121a26bb18
13109871b7
148b4a472
155c54945
hex3f42e84

66334340 has 48 divisors (see below), whose sum is σ = 151511472. Its totient is φ = 24293376.

The previous prime is 66334319. The next prime is 66334361. The reversal of 66334340 is 4343366.

66334340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66334319) and next prime (66334361).

It can be written as a sum of positive squares in 8 ways, for example, as 5837056 + 60497284 = 2416^2 + 7778^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9944 + ... + 15216.

It is an arithmetic number, because the mean of its divisors is an integer number (3156489).

Almost surely, 266334340 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 66334340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75755736).

66334340 is an abundant number, since it is smaller than the sum of its proper divisors (85177132).

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

66334340 is a wasteful number, since it uses less digits than its factorization.

66334340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336 (or 5334 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

The square root of 66334340 is about 8144.5896151985. The cubic root of 66334340 is about 404.8052510815.

The spelling of 66334340 in words is "sixty-six million, three hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 740 1258 2516 3145 5273 6290 10546 12580 21092 26365 52730 89641 105460 179282 195101 358564 390202 448205 780404 896410 975505 1792820 1951010 3316717 3902020 6633434 13266868 16583585 33167170 66334340