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234420208 = 241117471667
BaseRepresentation
bin11011111100011…
…11011111110000
3121100002210001221
431332033133300
5440002421313
635132234424
75544352561
oct1576173760
9540083057
10234420208
11110362410
126660ba14
13397491a9
14231c2168
15158a7c8d
hexdf8f7f0

234420208 has 80 divisors (see below), whose sum is σ = 536108544. Its totient is φ = 98094080.

The previous prime is 234420187. The next prime is 234420239. The reversal of 234420208 is 802024432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139791 + ... + 141457.

Almost surely, 2234420208 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 234420208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268054272).

234420208 is an abundant number, since it is smaller than the sum of its proper divisors (301688336).

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

234420208 is a wasteful number, since it uses less digits than its factorization.

234420208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 234420208 is about 15310.7873083000. The cubic root of 234420208 is about 616.5926578174.

The spelling of 234420208 in words is "two hundred thirty-four million, four hundred twenty thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 17 22 34 44 47 68 88 94 136 176 187 188 272 374 376 517 748 752 799 1034 1496 1598 1667 2068 2992 3196 3334 4136 6392 6668 8272 8789 12784 13336 17578 18337 26672 28339 35156 36674 56678 70312 73348 78349 113356 140624 146696 156698 226712 293392 311729 313396 453424 623458 626792 861839 1246916 1253584 1331933 1723678 2493832 2663866 3447356 4987664 5327732 6894712 10655464 13789424 14651263 21310928 29302526 58605052 117210104 234420208