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768373006 = 223313714563
BaseRepresentation
bin101101110011000…
…111000100001110
31222112211101121111
4231303013010032
53033200414011
6204124522234
725020030352
oct5563070416
91875741544
10768373006
113647aa015
121953b037a
13c325b4ab
1474095462
15476cb121
hex2dcc710e

768373006 has 32 divisors (see below), whose sum is σ = 1275107328. Its totient is φ = 345993120.

The previous prime is 768373003. The next prime is 768373051. The reversal of 768373006 is 600373867.

768373006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 768373006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768373003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45481 + ... + 60043.

It is an arithmetic number, because the mean of its divisors is an integer number (39847104).

Almost surely, 2768373006 is an apocalyptic number.

768373006 is a deficient number, since it is larger than the sum of its proper divisors (506734322).

768373006 is a wasteful number, since it uses less digits than its factorization.

768373006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14656.

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 768373006 is about 27719.5419514825. The cubic root of 768373006 is about 915.9196288248.

The spelling of 768373006 in words is "seven hundred sixty-eight million, three hundred seventy-three thousand, six".

Divisors: 1 2 23 31 37 46 62 74 713 851 1147 1426 1702 2294 14563 26381 29126 52762 334949 451453 538831 669898 902906 1077662 10383419 12393113 16703761 20766838 24786226 33407522 384186503 768373006