Search a number
-
+
44132340 = 22357217883
BaseRepresentation
bin1010100001011…
…0011111110100
310002001011012010
42220112133310
542244213330
64213524220
71044055500
oct250263764
9102034163
1044132340
1122a0330a
1212943670
1391b2715
145c0b300
153d1b3b0
hex2a167f4

44132340 has 144 divisors (see below), whose sum is σ = 152373312. Its totient is φ = 9483264.

The previous prime is 44132329. The next prime is 44132351. The reversal of 44132340 is 4323144.

It is an interprime number because it is at equal distance from previous prime (44132329) and next prime (44132351).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent 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, 49539 + ... + 50421.

It is an arithmetic number, because the mean of its divisors is an integer number (1058148).

Almost surely, 244132340 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 44132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76186656).

44132340 is an abundant number, since it is smaller than the sum of its proper divisors (108240972).

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

44132340 is a wasteful number, since it uses less digits than its factorization.

44132340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 44132340 is about 6643.2175939073. The cubic root of 44132340 is about 353.3884234342.

Adding to 44132340 its reverse (4323144), we get a palindrome (48455484).

The spelling of 44132340 in words is "forty-four million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 60 68 70 84 85 98 102 105 119 140 147 170 196 204 210 238 245 255 294 340 357 420 476 490 510 588 595 714 735 833 883 980 1020 1190 1428 1470 1666 1766 1785 2380 2499 2649 2940 3332 3532 3570 4165 4415 4998 5298 6181 7140 8330 8830 9996 10596 12362 12495 13245 15011 16660 17660 18543 24724 24990 26490 30022 30905 37086 43267 45033 49980 52980 60044 61810 74172 75055 86534 90066 92715 105077 123620 129801 150110 173068 180132 185430 210154 216335 225165 259602 300220 315231 370860 420308 432670 450330 519204 525385 630462 649005 735539 865340 900660 1050770 1260924 1298010 1471078 1576155 2101540 2206617 2596020 2942156 3152310 3677695 4413234 6304620 7355390 8826468 11033085 14710780 22066170 44132340