Search a number
-
+
234002736 = 243311232141
BaseRepresentation
bin11011111001010…
…01100100110000
3121022022120102000
431330221210300
5434401041421
635115254000
75540663502
oct1574514460
9538276360
10234002736
111100a77a0
126644a300
1339631176
1423113d72
1515824226
hexdf29930

234002736 has 160 divisors (see below), whose sum is σ = 764951040. Its totient is φ = 67795200.

The previous prime is 234002731. The next prime is 234002777. The reversal of 234002736 is 637200432.

234002736 is digitally balanced in base 2, because in such base 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 not an unprimeable number, because it can be changed into a prime (234002731) 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, 108226 + ... + 110366.

It is an arithmetic number, because the mean of its divisors is an integer number (4780944).

Almost surely, 2234002736 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 234002736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382475520).

234002736 is an abundant number, since it is smaller than the sum of its proper divisors (530948304).

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

234002736 is a wasteful number, since it uses less digits than its factorization.

234002736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 234002736 is about 15297.1479694746. The cubic root of 234002736 is about 616.2264164591.

The spelling of 234002736 in words is "two hundred thirty-four million, two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 33 36 44 46 48 54 66 69 72 88 92 99 108 132 138 144 176 184 198 207 216 253 264 276 297 368 396 414 432 506 528 552 594 621 759 792 828 1012 1104 1188 1242 1518 1584 1656 2024 2141 2277 2376 2484 3036 3312 4048 4282 4554 4752 4968 6072 6423 6831 8564 9108 9936 12144 12846 13662 17128 18216 19269 23551 25692 27324 34256 36432 38538 47102 49243 51384 54648 57807 70653 77076 94204 98486 102768 109296 115614 141306 147729 154152 188408 196972 211959 231228 282612 295458 308304 376816 393944 423918 443187 462456 541673 565224 590916 635877 787888 847836 886374 924912 1083346 1130448 1181832 1271754 1329561 1625019 1695672 1772748 2166692 2363664 2543508 2659122 3250038 3391344 3545496 4333384 4875057 5087016 5318244 6500076 7090992 8666768 9750114 10174032 10636488 13000152 14625171 19500228 21272976 26000304 29250342 39000456 58500684 78000912 117001368 234002736