Search a number
-
+
110342144 = 212113179
BaseRepresentation
bin1101001001110…
…11000000000000
321200121221222002
412210323000000
5211221422034
614541003132
72506615133
oct644730000
9250557862
10110342144
1157315760
1230b534a8
1319b25013
141092421a
159a48e7e
hex693b000

110342144 has 104 divisors (see below), whose sum is σ = 251627520. Its totient is φ = 47923200.

The previous prime is 110342143. The next prime is 110342147. The reversal of 110342144 is 441243011.

It is not an unprimeable number, because it can be changed into a prime (110342143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1396697 + ... + 1396775.

Almost surely, 2110342144 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 110342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125813760).

110342144 is an abundant number, since it is smaller than the sum of its proper divisors (141285376).

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

110342144 is an equidigital number, since it uses as much as digits as its factorization.

110342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 110342144 is about 10504.3868931033. The cubic root of 110342144 is about 479.6382459495.

Adding to 110342144 its reverse (441243011), we get a palindrome (551585155).

The spelling of 110342144 in words is "one hundred ten million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 79 88 124 128 158 176 248 256 316 341 352 496 512 632 682 704 869 992 1024 1264 1364 1408 1738 1984 2048 2449 2528 2728 2816 3476 3968 4096 4898 5056 5456 5632 6952 7936 9796 10112 10912 11264 13904 15872 19592 20224 21824 22528 26939 27808 31744 39184 40448 43648 45056 53878 55616 63488 78368 80896 87296 107756 111232 126976 156736 161792 174592 215512 222464 313472 323584 349184 431024 444928 626944 698368 862048 889856 1253888 1396736 1724096 1779712 2507776 3448192 3559424 5015552 6896384 10031104 13792768 27585536 55171072 110342144