Search a number
-
+
240213330 = 23357149853
BaseRepresentation
bin11100101000101…
…01110101010010
3121202000002202000
432110111311102
5442443311310
635500334430
75644531260
oct1624256522
9552002660
10240213330
11113659915
1268544416
133a9c6c86
1423c8d430
151614e4c0
hexe515d52

240213330 has 128 divisors (see below), whose sum is σ = 737856000. Its totient is φ = 54473472.

The previous prime is 240213319. The next prime is 240213343. The reversal of 240213330 is 33312042.

240213330 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 281184 + ... + 282036.

It is an arithmetic number, because the mean of its divisors is an integer number (5764500).

Almost surely, 2240213330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240213330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368928000).

240213330 is an abundant number, since it is smaller than the sum of its proper divisors (497642670).

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

240213330 is a wasteful number, since it uses less digits than its factorization.

240213330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 240213330 is about 15498.8170516333. The cubic root of 240213330 is about 621.6305760813.

Adding to 240213330 its reverse (33312042), we get a palindrome (273525372).

The spelling of 240213330 in words is "two hundred forty million, two hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 149 189 210 270 298 315 378 447 630 745 853 894 945 1043 1341 1490 1706 1890 2086 2235 2559 2682 3129 4023 4265 4470 5118 5215 5971 6258 6705 7677 8046 8530 9387 10430 11942 12795 13410 15354 15645 17913 18774 20115 23031 25590 28161 29855 31290 35826 38385 40230 46062 46935 53739 56322 59710 76770 89565 93870 107478 115155 127097 140805 161217 179130 230310 254194 268695 281610 322434 381291 537390 635485 762582 806085 889679 1143873 1270970 1612170 1779358 1906455 2287746 2669037 3431619 3812910 4448395 5338074 5719365 6863238 8007111 8896790 11438730 13345185 16014222 17158095 24021333 26690370 34316190 40035555 48042666 80071110 120106665 240213330