Search a number
-
+
3040242330 = 235434994723
BaseRepresentation
bin1011010100110110…
…0110101010011010
321211212202022102210
42311031212222122
522211300223310
61221402535550
7135224430156
oct26515465232
97755668383
103040242330
111320157074
1270a2075b6
13395b34478
1420bac0066
1512bd92820
hexb5366a9a

3040242330 has 64 divisors (see below), whose sum is σ = 7482816000. Its totient is φ = 790122816.

The previous prime is 3040242319. The next prime is 3040242341. The reversal of 3040242330 is 332420403.

It is an interprime number because it is at equal distance from previous prime (3040242319) and next prime (3040242341).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3040242297 and 3040242306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641349 + ... + 646071.

It is an arithmetic number, because the mean of its divisors is an integer number (116919000).

Almost surely, 23040242330 is an apocalyptic number.

3040242330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3040242330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741408000).

3040242330 is an abundant number, since it is smaller than the sum of its proper divisors (4442573670).

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

3040242330 is a wasteful number, since it uses less digits than its factorization.

3040242330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5275.

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 3040242330 is about 55138.3925228148. The cubic root of 3040242330 is about 1448.6697796415.

Adding to 3040242330 its reverse (332420403), we get a palindrome (3372662733).

The spelling of 3040242330 in words is "three billion, forty million, two hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 499 645 998 1290 1497 2495 2994 4723 4990 7485 9446 14169 14970 21457 23615 28338 42914 47230 64371 70845 107285 128742 141690 203089 214570 321855 406178 609267 643710 1015445 1218534 2030890 2356777 3046335 4713554 6092670 7070331 11783885 14140662 23567770 35351655 70703310 101341411 202682822 304024233 506707055 608048466 1013414110 1520121165 3040242330