Search a number
-
+
234870090 = 235713227379
BaseRepresentation
bin11011111111111…
…01010101001010
3121100221122012020
431333331111022
5440111320330
635150025310
75551235310
oct1577752512
9540848166
10234870090
1111063a414
12667a8236
1339875bb0
142329c0b0
1515946210
hexdffd54a

234870090 has 128 divisors (see below), whose sum is σ = 698664960. Its totient is φ = 49206528.

The previous prime is 234870071. The next prime is 234870121. The reversal of 234870090 is 90078432.

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 63 ways as a sum of consecutive naturals, for example, 619521 + ... + 619899.

It is an arithmetic number, because the mean of its divisors is an integer number (5458320).

Almost surely, 2234870090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234870090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349332480).

234870090 is an abundant number, since it is smaller than the sum of its proper divisors (463794870).

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

234870090 is a wasteful number, since it uses less digits than its factorization.

234870090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 234870090 is about 15325.4719340058. The cubic root of 234870090 is about 616.9868455000.

The spelling of 234870090 in words is "two hundred thirty-four million, eight hundred seventy thousand, ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 227 273 379 390 454 455 546 681 758 910 1135 1137 1362 1365 1589 1895 2270 2274 2653 2730 2951 3178 3405 3790 4767 4927 5306 5685 5902 6810 7945 7959 8853 9534 9854 11370 13265 14755 14781 15890 15918 17706 20657 23835 24635 26530 29510 29562 34489 39795 41314 44265 47670 49270 61971 68978 73905 79590 86033 88530 103285 103467 123942 147810 172066 172445 206570 206934 258099 309855 344890 430165 516198 517335 602231 619710 860330 1034670 1118429 1204462 1290495 1806693 2236858 2580990 3011155 3355287 3613386 5592145 6022310 6710574 7829003 9033465 11184290 15658006 16776435 18066930 23487009 33552870 39145015 46974018 78290030 117435045 234870090