Search a number
-
+
3022414240 = 25559353907
BaseRepresentation
bin1011010000100110…
…0110000110100000
321210122012112220011
42310021212012200
522142214223430
61215524454304
7134620045216
oct26411460640
97718175804
103022414240
11131108a60a
1270424a394
133922317c1
1420959ccb6
1512a52022a
hexb42661a0

3022414240 has 96 divisors (see below), whose sum is σ = 7290077760. Its totient is φ = 1183801344.

The previous prime is 3022414217. The next prime is 3022414271. The reversal of 3022414240 is 424142203.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3331867 + ... + 3332773.

It is an arithmetic number, because the mean of its divisors is an integer number (75938310).

Almost surely, 23022414240 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 3022414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645038880).

3022414240 is an abundant number, since it is smaller than the sum of its proper divisors (4267663520).

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

3022414240 is a wasteful number, since it uses less digits than its factorization.

3022414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3022414240 is about 54976.4880653539. The cubic root of 3022414240 is about 1445.8325426685.

Adding to 3022414240 its reverse (424142203), we get a palindrome (3446556443).

The spelling of 3022414240 in words is "three billion, twenty-two million, four hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 353 472 590 706 907 944 1180 1412 1765 1814 1888 2360 2824 3530 3628 4535 4720 5648 7060 7256 9070 9440 11296 14120 14512 18140 20827 28240 29024 36280 41654 53513 56480 72560 83308 104135 107026 145120 166616 208270 214052 267565 320171 333232 416540 428104 535130 640342 666464 833080 856208 1070260 1280684 1600855 1666160 1712416 2140520 2561368 3201710 3332320 4281040 5122736 6403420 8562080 10245472 12806840 18890089 25613680 37780178 51227360 75560356 94450445 151120712 188900890 302241424 377801780 604482848 755603560 1511207120 3022414240