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256455342 = 233111333211
BaseRepresentation
bin11110100100100…
…11001010101110
3122212120021121000
433102103022232
51011123032332
641240421130
76232556133
oct1722231256
9585507530
10256455342
11121842770
1271a777a6
1341192a30
14260ba58a
15177abb7c
hexf4932ae

256455342 has 64 divisors (see below), whose sum is σ = 669553920. Its totient is φ = 71733600.

The previous prime is 256455317. The next prime is 256455349. The reversal of 256455342 is 243554652.

256455342 is a `hidden beast` number, since 2 + 5 + 64 + 553 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 256455297 and 256455306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256455349) 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, 8884 + ... + 24327.

It is an arithmetic number, because the mean of its divisors is an integer number (10461780).

Almost surely, 2256455342 is an apocalyptic number.

256455342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

256455342 is an abundant number, since it is smaller than the sum of its proper divisors (413098578).

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

256455342 is a wasteful number, since it uses less digits than its factorization.

256455342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33246 (or 33240 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 256455342 is about 16014.2231157181. The cubic root of 256455342 is about 635.3366615391.

The spelling of 256455342 in words is "two hundred fifty-six million, four hundred fifty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 594 702 858 1287 2574 3861 7722 33211 66422 99633 199266 298899 365321 431743 597798 730642 863486 896697 1095963 1295229 1793394 2191926 2590458 3287889 3885687 4749173 6575778 7771374 9498346 9863667 11657061 14247519 19727334 23314122 28495038 42742557 85485114 128227671 256455342