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256340106 = 233112329647
BaseRepresentation
bin11110100011101…
…11000010001010
3122212100102112000
433101313002022
51011110340411
641234131430
76231566151
oct1721670212
9585312460
10256340106
11121774130
1271a20b76
1341152449
142608a598
1517787956
hexf47708a

256340106 has 128 divisors (see below), whose sum is σ = 671846400. Its totient is φ = 71628480.

The previous prime is 256340101. The next prime is 256340113. The reversal of 256340106 is 601043652.

256340106 is a `hidden beast` number, since 25 + 634 + 0 + 1 + 0 + 6 = 666.

256340106 is digitally balanced in base 2 and base 3, because in such bases 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 (27).

It is a self number, because there is not a number n which added to its sum of digits gives 256340106.

It is not an unprimeable number, because it can be changed into a prime (256340101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 395875 + ... + 396521.

It is an arithmetic number, because the mean of its divisors is an integer number (5248800).

Almost surely, 2256340106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256340106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335923200).

256340106 is an abundant number, since it is smaller than the sum of its proper divisors (415506294).

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

256340106 is a wasteful number, since it uses less digits than its factorization.

256340106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 256340106 is about 16010.6247848109. The cubic root of 256340106 is about 635.2414862626.

Adding to 256340106 its reverse (601043652), we get a palindrome (857383758).

The spelling of 256340106 in words is "two hundred fifty-six million, three hundred forty thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 23 27 29 33 46 54 58 66 69 87 99 138 174 198 207 253 261 297 319 414 506 522 594 621 638 647 667 759 783 957 1242 1294 1334 1518 1566 1914 1941 2001 2277 2871 3882 4002 4554 5742 5823 6003 6831 7117 7337 8613 11646 12006 13662 14234 14674 14881 17226 17469 18009 18763 21351 22011 29762 34938 36018 37526 42702 44022 44643 56289 64053 66033 89286 112578 128106 132066 133929 163691 168867 192159 198099 206393 267858 327382 337734 384318 396198 401787 412786 431549 491073 506601 619179 803574 863098 982146 1013202 1238358 1294647 1473219 1857537 2589294 2946438 3715074 3883941 4419657 4747039 5572611 7767882 8839314 9494078 11145222 11651823 14241117 23303646 28482234 42723351 85446702 128170053 256340106