Search a number
-
+
1143300330 = 232523601919
BaseRepresentation
bin100010000100101…
…0110000011101010
32221200022200012200
41010021112003222
54320141102310
6305240521030
740221615054
oct10411260352
92850280180
101143300330
115373aa507
1227aa80176
13152b31793
14abbb08d4
156a58a9c0
hex442560ea

1143300330 has 96 divisors (see below), whose sum is σ = 3110365440. Its totient is φ = 290822400.

The previous prime is 1143300329. The next prime is 1143300341. The reversal of 1143300330 is 330033411.

1143300330 is a `hidden beast` number, since 1 + 1 + 4 + 330 + 0 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1243611 + ... + 1244529.

It is an arithmetic number, because the mean of its divisors is an integer number (32399640).

Almost surely, 21143300330 is an apocalyptic number.

1143300330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143300330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555182720).

1143300330 is an abundant number, since it is smaller than the sum of its proper divisors (1967065110).

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

1143300330 is a wasteful number, since it uses less digits than its factorization.

1143300330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1143300330 is about 33812.7243800318. The cubic root of 1143300330 is about 1045.6510461206.

Adding to 1143300330 its reverse (330033411), we get a palindrome (1473333741).

The spelling of 1143300330 in words is "one billion, one hundred forty-three million, three hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 601 690 919 1035 1202 1803 1838 2070 2757 3005 3606 4595 5409 5514 6010 8271 9015 9190 10818 13785 13823 16542 18030 21137 27045 27570 27646 41355 41469 42274 54090 63411 69115 82710 82938 105685 124407 126822 138230 190233 207345 211370 248814 317055 380466 414690 552319 622035 634110 951165 1104638 1244070 1656957 1902330 2761595 3313914 4970871 5523190 8284785 9941742 12703337 16569570 24854355 25406674 38110011 49708710 63516685 76220022 114330033 127033370 190550055 228660066 381100110 571650165 1143300330