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8054340 = 22357127151
BaseRepresentation
bin11110101110011001000100
3120011012110220
4132232121010
54030214330
6444344340
7125314020
oct36563104
916135426
108054340
114601388
1228450b0
1318900a8
1410d9380
15a91710
hex7ae644

8054340 has 96 divisors (see below), whose sum is σ = 26148864. Its totient is φ = 1814400.

The previous prime is 8054323. The next prime is 8054341. The reversal of 8054340 is 434508.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 8054340.

It is not an unprimeable number, because it can be changed into a prime (8054341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53265 + ... + 53415.

It is an arithmetic number, because the mean of its divisors is an integer number (272384).

Almost surely, 28054340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8054340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13074432).

8054340 is an abundant number, since it is smaller than the sum of its proper divisors (18094524).

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

8054340 is a wasteful number, since it uses less digits than its factorization.

8054340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 8054340 is about 2838.0169132688. The cubic root of 8054340 is about 200.4518118948.

Adding to 8054340 its reverse (434508), we get a palindrome (8488848).

The spelling of 8054340 in words is "eight million, fifty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 127 140 151 210 254 302 381 420 453 508 604 635 755 762 889 906 1057 1270 1510 1524 1778 1812 1905 2114 2265 2540 2667 3020 3171 3556 3810 4228 4445 4530 5285 5334 6342 7620 8890 9060 10570 10668 12684 13335 15855 17780 19177 21140 26670 31710 38354 53340 57531 63420 76708 95885 115062 134239 191770 230124 268478 287655 383540 402717 536956 575310 671195 805434 1150620 1342390 1610868 2013585 2684780 4027170 8054340