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234405808 = 247213109211
BaseRepresentation
bin11011111100010…
…11111110110000
3121100002001022121
431332023332300
5440001441213
635132044024
75544262600
oct1576137660
9540061277
10234405808
1111035260a
1266603614
1339742780
14231bac00
15158a388d
hexdf8bfb0

234405808 has 120 divisors (see below), whose sum is σ = 576890160. Its totient is φ = 91445760.

The previous prime is 234405799. The next prime is 234405827. The reversal of 234405808 is 808504432.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1110823 + ... + 1111033.

It is an arithmetic number, because the mean of its divisors is an integer number (4807418).

Almost surely, 2234405808 is an apocalyptic number.

234405808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234405808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288445080).

234405808 is an abundant number, since it is smaller than the sum of its proper divisors (342484352).

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

234405808 is a wasteful number, since it uses less digits than its factorization.

234405808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 234405808 is about 15310.3170443985. The cubic root of 234405808 is about 616.5800321765.

The spelling of 234405808 in words is "two hundred thirty-four million, four hundred five thousand, eight hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 109 112 182 196 208 211 218 364 392 422 436 637 728 763 784 844 872 1274 1417 1456 1477 1526 1688 1744 2548 2743 2834 2954 3052 3376 5096 5341 5486 5668 5908 6104 9919 10192 10339 10682 10972 11336 11816 12208 19201 19838 20678 21364 21944 22672 22999 23632 38402 39676 41356 42728 43888 45998 69433 76804 79352 82712 85456 91996 134407 138866 153608 158704 160993 165424 183992 268814 277732 298987 307216 321986 367984 537628 555464 597974 643972 1075256 1110928 1126951 1195948 1287944 2092909 2150512 2253902 2391896 2575888 4185818 4507804 4783792 8371636 9015608 14650363 16743272 18031216 29300726 33486544 58601452 117202904 234405808