Search a number
-
+
104227344 = 24331367277
BaseRepresentation
bin1100011011001…
…10001000010000
321021010022001000
412031212020100
5203140233334
614201542000
72403626544
oct615461020
9237108030
10104227344
1153919601
122aaa4900
13187939b0
14dbb1a24
15923c299
hex6366210

104227344 has 160 divisors (see below), whose sum is σ = 328173440. Its totient is φ = 31477248.

The previous prime is 104227339. The next prime is 104227367. The reversal of 104227344 is 443722401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376134 + ... + 376410.

It is an arithmetic number, because the mean of its divisors is an integer number (2051084).

Almost surely, 2104227344 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 104227344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164086720).

104227344 is an abundant number, since it is smaller than the sum of its proper divisors (223946096).

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

104227344 is a wasteful number, since it uses less digits than its factorization.

104227344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 104227344 is about 10209.1793989527. The cubic root of 104227344 is about 470.6093559981.

Adding to 104227344 its reverse (443722401), we get a palindrome (547949745).

It can be divided in two parts, 10422 and 7344, that added together give a triangular number (17766 = T188).

The spelling of 104227344 in words is "one hundred four million, two hundred twenty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 67 72 78 104 108 117 134 144 156 201 208 216 234 268 277 312 351 402 432 468 536 554 603 624 702 804 831 871 936 1072 1108 1206 1404 1608 1662 1742 1809 1872 2216 2412 2493 2613 2808 3216 3324 3484 3601 3618 4432 4824 4986 5226 5616 6648 6968 7202 7236 7479 7839 9648 9972 10452 10803 13296 13936 14404 14472 14958 15678 18559 19944 20904 21606 23517 28808 28944 29916 31356 32409 37118 39888 41808 43212 47034 55677 57616 59832 62712 64818 74236 86424 94068 97227 111354 119664 125424 129636 148472 167031 172848 188136 194454 222708 241267 259272 296944 334062 376272 388908 445416 482534 501093 518544 668124 723801 777816 890832 965068 1002186 1336248 1447602 1555632 1930136 2004372 2171403 2672496 2895204 3860272 4008744 4342806 5790408 6514209 8017488 8685612 11580816 13028418 17371224 26056836 34742448 52113672 104227344