Search a number
-
+
66934944 = 253377471
BaseRepresentation
bin1111111101010…
…1100010100000
311122221122111000
43333111202200
5114113404234
610350352000
71441636416
oct377254240
9148848430
1066934944
113486823a
121a4bb600
1310b3769b
148c652b6
155d22899
hex3fd58a0

66934944 has 48 divisors (see below), whose sum is σ = 195229440. Its totient is φ = 22311360.

The previous prime is 66934939. The next prime is 66934957. The reversal of 66934944 is 44943966.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 66934944.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37872 + ... + 39599.

It is an arithmetic number, because the mean of its divisors is an integer number (4067280).

Almost surely, 266934944 is an apocalyptic number.

It is an amenable number.

66934944 is an abundant number, since it is smaller than the sum of its proper divisors (128294496).

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

66934944 is a wasteful number, since it uses less digits than its factorization.

66934944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77490 (or 77476 counting only the distinct ones).

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

The square root of 66934944 is about 8181.3778790617. The cubic root of 66934944 is about 406.0233107212.

The spelling of 66934944 in words is "sixty-six million, nine hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 77471 154942 232413 309884 464826 619768 697239 929652 1239536 1394478 1859304 2091717 2479072 2788956 3718608 4183434 5577912 7437216 8366868 11155824 16733736 22311648 33467472 66934944