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33640713 = 323737857
BaseRepresentation
bin1000000001010…
…1000100001001
32100022010101100
42000111010021
532103000323
63201012013
7555640611
oct200250411
970263340
1033640713
1117a97847
12b324009
136c7b162
144679a41
152e47943
hex2015109

33640713 has 6 divisors (see below), whose sum is σ = 48592154. Its totient is φ = 22427136.

The previous prime is 33640709. The next prime is 33640721. The reversal of 33640713 is 31704633.

It is a happy number.

33640713 is a `hidden beast` number, since 3 + 3 + 640 + 7 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29942784 + 3697929 = 5472^2 + 1923^2 .

It is not a de Polignac number, because 33640713 - 22 = 33640709 is a prime.

It is a super-3 number, since 3×336407133 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33640703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1868920 + ... + 1868937.

Almost surely, 233640713 is an apocalyptic number.

It is an amenable number.

33640713 is a deficient number, since it is larger than the sum of its proper divisors (14951441).

33640713 is a wasteful number, since it uses less digits than its factorization.

33640713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737863 (or 3737860 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 33640713 is about 5800.0614651916. The cubic root of 33640713 is about 322.8160089811.

The spelling of 33640713 in words is "thirty-three million, six hundred forty thousand, seven hundred thirteen".

Divisors: 1 3 9 3737857 11213571 33640713