Search a number
-
+
44323440 = 2435723769
BaseRepresentation
bin1010100100010…
…1001001110000
310002101212022220
42221011021300
542321322230
64222001040
71045512600
oct251051160
9102355286
1044323440
1123023947
1212a16180
13924b6b5
145c5ac00
153d57d10
hex2a45270

44323440 has 120 divisors (see below), whose sum is σ = 159878160. Its totient is φ = 10128384.

The previous prime is 44323439. The next prime is 44323451. The reversal of 44323440 is 4432344.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 44323440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9876 + ... + 13644.

It is an arithmetic number, because the mean of its divisors is an integer number (1332318).

Almost surely, 244323440 is an apocalyptic number.

44323440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79939080).

44323440 is an abundant number, since it is smaller than the sum of its proper divisors (115554720).

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

44323440 is a wasteful number, since it uses less digits than its factorization.

44323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 44323440 is about 6657.5851477844. The cubic root of 44323440 is about 353.8977648532.

Adding to 44323440 its reverse (4432344), we get a palindrome (48755784).

The spelling of 44323440 in words is "forty-four million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3769 3920 5880 7538 11307 11760 15076 18845 22614 26383 30152 37690 45228 52766 56535 60304 75380 79149 90456 105532 113070 131915 150760 158298 180912 184681 211064 226140 263830 301520 316596 369362 395745 422128 452280 527660 554043 633192 738724 791490 904560 923405 1055320 1108086 1266384 1477448 1582980 1846810 2110640 2216172 2770215 2954896 3165960 3693620 4432344 5540430 6331920 7387240 8864688 11080860 14774480 22161720 44323440