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673417040 = 24582110253
BaseRepresentation
bin101000001000111…
…000011101010000
31201221011010111212
4220020320131100
52334343321130
6150453355252
722454643662
oct5010703520
91657133455
10673417040
1131614320a
12169638b28
13a969282a
1465618532
153e1c0e95
hex28238750

673417040 has 40 divisors (see below), whose sum is σ = 1567754568. Its totient is φ = 269012480.

The previous prime is 673417009. The next prime is 673417049. The reversal of 673417040 is 40714376.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 118336 + 673298704 = 344^2 + 25948^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 673416988 and 673417006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673417049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60554 + ... + 70806.

Almost surely, 2673417040 is an apocalyptic number.

It is an amenable number.

673417040 is an abundant number, since it is smaller than the sum of its proper divisors (894337528).

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

673417040 is a wasteful number, since it uses less digits than its factorization.

673417040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11087 (or 11081 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 673417040 is about 25950.2801526303. The cubic root of 673417040 is about 876.5190657514.

The spelling of 673417040 in words is "six hundred seventy-three million, four hundred seventeen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 821 1642 3284 4105 6568 8210 10253 13136 16420 20506 32840 41012 51265 65680 82024 102530 164048 205060 410120 820240 8417713 16835426 33670852 42088565 67341704 84177130 134683408 168354260 336708520 673417040