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678012040 = 23553319817
BaseRepresentation
bin101000011010011…
…010010010001000
31202020210120200001
4220122122102020
52342032341130
6151140052344
722542002326
oct5032322210
91666716601
10678012040
113187a1532
1216b0940b4
13aa611174
1466092d16
153e7cc6ca
hex2869a488

678012040 has 32 divisors (see below), whose sum is σ = 1554315480. Its totient is φ = 266086912.

The previous prime is 678012031. The next prime is 678012047. The reversal of 678012040 is 40210876.

678012040 = T329 + T330 + ... + T1600.

It can be written as a sum of positive squares in 4 ways, for example, as 493106436 + 184905604 = 22206^2 + 13598^2 .

It is not an unprimeable number, because it can be changed into a prime (678012047) 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, 157789 + ... + 162028.

Almost surely, 2678012040 is an apocalyptic number.

It is an amenable number.

678012040 is an abundant number, since it is smaller than the sum of its proper divisors (876303440).

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

678012040 is a wasteful number, since it uses less digits than its factorization.

678012040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319881 (or 319877 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 678012040 is about 26038.6643282638. The cubic root of 678012040 is about 878.5081645176.

The spelling of 678012040 in words is "six hundred seventy-eight million, twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 319817 639634 1279268 1599085 2558536 3198170 6396340 12792680 16950301 33900602 67801204 84751505 135602408 169503010 339006020 678012040