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66034940 = 22561113479
BaseRepresentation
bin1111101111100…
…1110011111100
311121020220220112
43323321303330
5113401104230
610315205152
71431200456
oct373716374
9147226815
1066034940
1134303034
121a1467b8
13108b0b3a
148aad2d6
155be5d95
hex3ef9cfc

66034940 has 48 divisors (see below), whose sum is σ = 142490880. Its totient is φ = 25697280.

The previous prime is 66034933. The next prime is 66034949. The reversal of 66034940 is 4943066.

It is a super-3 number, since 3×660349403 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 66034897 and 66034906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66034949) 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 15 ways as a sum of consecutive naturals, for example, 137621 + ... + 138099.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 266034940 is an apocalyptic number.

It is an amenable number.

66034940 is an abundant number, since it is smaller than the sum of its proper divisors (76455940).

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

66034940 is a wasteful number, since it uses less digits than its factorization.

66034940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 66034940 is about 8126.1885284554. The cubic root of 66034940 is about 404.1953030807.

The spelling of 66034940 in words is "sixty-six million, thirty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 61 113 122 226 244 305 452 479 565 610 958 1130 1220 1916 2260 2395 4790 6893 9580 13786 27572 29219 34465 54127 58438 68930 108254 116876 137860 146095 216508 270635 292190 541270 584380 1082540 3301747 6603494 13206988 16508735 33017470 66034940