Search a number
-
+
1100311344 = 243311231547
BaseRepresentation
bin100000110010101…
…0110101100110000
32211200102121102000
41001211112230300
54223134430334
6301103254000
736160330536
oct10145265460
92750377360
101100311344
11515108220
122685aa300
13146c5c602
14a61c0156
15668e8299
hex41956b30

1100311344 has 80 divisors (see below), whose sum is σ = 3445434240. Its totient is φ = 333426240.

The previous prime is 1100311343. The next prime is 1100311367. The reversal of 1100311344 is 4431130011.

1100311344 is a `hidden beast` number, since 1 + 10 + 0 + 311 + 344 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1100311343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111022 + ... + 120525.

It is an arithmetic number, because the mean of its divisors is an integer number (43067928).

Almost surely, 21100311344 is an apocalyptic number.

It is an amenable number.

1100311344 is an abundant number, since it is smaller than the sum of its proper divisors (2345122896).

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

1100311344 is a wasteful number, since it uses less digits than its factorization.

1100311344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231575 (or 231563 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1100311344 is about 33170.9412588790. The cubic root of 1100311344 is about 1032.3774984571.

Adding to 1100311344 its reverse (4431130011), we get a palindrome (5531441355).

The spelling of 1100311344 in words is "one billion, one hundred million, three hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 231547 463094 694641 926188 1389282 1852376 2083923 2547017 2778564 3704752 4167846 5094034 5557128 6251769 7641051 8335692 10188068 11114256 12503538 15282102 16671384 20376136 22923153 25007076 30564204 33342768 40752272 45846306 50014152 61128408 68769459 91692612 100028304 122256816 137538918 183385224 275077836 366770448 550155672 1100311344