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66834936 = 2333744203
BaseRepresentation
bin1111111011110…
…1000111111000
311122202120022000
43332331013320
5114102204221
610344301000
71441042020
oct376750770
9148676260
1066834936
11347aa093
121a471760
1310b00ccc
148c3aa80
155d02e26
hex3fbd1f8

66834936 has 64 divisors (see below), whose sum is σ = 212179200. Its totient is φ = 19095264.

The previous prime is 66834923. The next prime is 66834947. The reversal of 66834936 is 63943866.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66834891 and 66834900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20590 + ... + 23613.

It is an arithmetic number, because the mean of its divisors is an integer number (3315300).

Almost surely, 266834936 is an apocalyptic number.

It is an amenable number.

66834936 is an abundant number, since it is smaller than the sum of its proper divisors (145344264).

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

66834936 is a wasteful number, since it uses less digits than its factorization.

66834936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44225 (or 44215 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 66834936 is about 8175.2636654728. The cubic root of 66834936 is about 405.8209957735.

The spelling of 66834936 in words is "sixty-six million, eight hundred thirty-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 44203 88406 132609 176812 265218 309421 353624 397827 530436 618842 795654 928263 1060872 1193481 1237684 1591308 1856526 2386962 2475368 2784789 3182616 3713052 4773924 5569578 7426104 8354367 9547848 11139156 16708734 22278312 33417468 66834936