Search a number
-
+
66834048 = 273174047
BaseRepresentation
bin1111111011110…
…0111010000000
311122202112002010
43332330322000
5114102142143
610344252520
71441036311
oct376747200
9148675063
1066834048
11347a9456
121a471140
1310b00798
148c3a608
155d02a33
hex3fbce80

66834048 has 32 divisors (see below), whose sum is σ = 177528960. Its totient is φ = 22277888.

The previous prime is 66834043. The next prime is 66834091. The reversal of 66834048 is 84043866.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 66833997 and 66834015.

It is not an unprimeable number, because it can be changed into a prime (66834043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86640 + ... + 87407.

It is an arithmetic number, because the mean of its divisors is an integer number (5547780).

Almost surely, 266834048 is an apocalyptic number.

It is an amenable number.

66834048 is an abundant number, since it is smaller than the sum of its proper divisors (110694912).

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

66834048 is a wasteful number, since it uses less digits than its factorization.

66834048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174064 (or 174052 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 66834048 is about 8175.2093551175. The cubic root of 66834048 is about 405.8191984568.

It can be divided in two parts, 6683 and 4048, that added together give a triangular number (10731 = T146).

The spelling of 66834048 in words is "sixty-six million, eight hundred thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 174047 348094 522141 696188 1044282 1392376 2088564 2784752 4177128 5569504 8354256 11139008 16708512 22278016 33417024 66834048