Search a number
-
+
88081344 = 2634131307
BaseRepresentation
bin1010100000000…
…00001111000000
320010201222220000
411100000033000
5140022100334
612423520000
72116451631
oct520001700
9203658800
1088081344
11457a08aa
12255b9000
131532c850
14b9ab888
157aed299
hex54003c0

88081344 has 140 divisors (see below), whose sum is σ = 281400504. Its totient is φ = 27081216.

The previous prime is 88081333. The next prime is 88081361. The reversal of 88081344 is 44318088.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 88081299 and 88081308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66739 + ... + 68045.

Almost surely, 288081344 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 88081344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140700252).

88081344 is an abundant number, since it is smaller than the sum of its proper divisors (193319160).

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

88081344 is a wasteful number, since it uses less digits than its factorization.

88081344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 88081344 is about 9385.1661679482. The cubic root of 88081344 is about 444.9330269954.

The spelling of 88081344 in words is "eighty-eight million, eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1307 1404 1728 1872 2106 2496 2592 2614 2808 3744 3921 4212 5184 5228 5616 7488 7842 8424 10456 11232 11763 15684 16848 16991 20912 22464 23526 31368 33696 33982 35289 41824 47052 50973 62736 67392 67964 70578 83648 94104 101946 105867 125472 135928 141156 152919 188208 203892 211734 250944 271856 282312 305838 376416 407784 423468 458757 543712 564624 611676 752832 815568 846936 917514 1087424 1129248 1223352 1376271 1631136 1693872 1835028 2258496 2446704 2752542 3262272 3387744 3670056 4893408 5505084 6775488 7340112 9786816 11010168 14680224 22020336 29360448 44040672 88081344