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1678952340 = 2233513239167
BaseRepresentation
bin110010000010010…
…1100011110010100
311100000020121122000
41210010230132110
511414302433330
6434333435300
756414600532
oct14404543624
94300217560
101678952340
117917a781a
123aa33bb30
13209aba330
1411cda7152
159c5e7560
hex6412c794

1678952340 has 96 divisors (see below), whose sum is σ = 5625231360. Its totient is φ = 413278848.

The previous prime is 1678952299. The next prime is 1678952357. The reversal of 1678952340 is 432598761.

1678952340 is a `hidden beast` number, since 1 + 6 + 7 + 89 + 523 + 40 = 666.

1678952340 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

1678952340 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112564 + ... + 126603.

It is an arithmetic number, because the mean of its divisors is an integer number (58596160).

It is a 1-persistent number, because it is pandigital, but 2⋅1678952340 = 3357904680 is not.

Almost surely, 21678952340 is an apocalyptic number.

1678952340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1678952340 is an abundant number, since it is smaller than the sum of its proper divisors (3946279020).

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

1678952340 is a wasteful number, since it uses less digits than its factorization.

1678952340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239198 (or 239190 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1678952340 is about 40975.0209273894. The cubic root of 1678952340 is about 1188.5372276889.

The spelling of 1678952340 in words is "one billion, six hundred seventy-eight million, nine hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 239167 478334 717501 956668 1195835 1435002 2152503 2391670 2870004 3109171 3587505 4305006 4783340 6218342 6457509 7175010 8610012 9327513 10762515 12436684 12915018 14350020 15545855 18655026 21525030 25830036 27982539 31091710 32287545 37310052 43050060 46637565 55965078 62183420 64575090 83947617 93275130 111930156 129150180 139912695 167895234 186550260 279825390 335790468 419738085 559650780 839476170 1678952340