Search a number
-
+
44134240 = 2552367179
BaseRepresentation
bin1010100001011…
…0111101100000
310002001020210111
42220112331200
542244243430
64213541104
71044064153
oct250267540
9102036714
1044134240
1122a04787
1212944794
1391b3547
145c0bc9a
153d1bc2a
hex2a16f60

44134240 has 96 divisors (see below), whose sum is σ = 111041280. Its totient is φ = 16541184.

The previous prime is 44134187. The next prime is 44134241. The reversal of 44134240 is 4243144.

It is a super-2 number, since 2×441342402 = 3895662280755200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44134241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246471 + ... + 246649.

It is an arithmetic number, because the mean of its divisors is an integer number (1156680).

Almost surely, 244134240 is an apocalyptic number.

44134240 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 44134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55520640).

44134240 is an abundant number, since it is smaller than the sum of its proper divisors (66907040).

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

44134240 is a wasteful number, since it uses less digits than its factorization.

44134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 44134240 is about 6643.3605953614. The cubic root of 44134240 is about 353.3934947596.

Adding to 44134240 its reverse (4243144), we get a palindrome (48377384).

The spelling of 44134240 in words is "forty-four million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 67 80 92 115 134 160 179 184 230 268 335 358 368 460 536 670 716 736 895 920 1072 1340 1432 1541 1790 1840 2144 2680 2864 3082 3580 3680 4117 5360 5728 6164 7160 7705 8234 10720 11993 12328 14320 15410 16468 20585 23986 24656 28640 30820 32936 41170 47972 49312 59965 61640 65872 82340 95944 119930 123280 131744 164680 191888 239860 246560 275839 329360 383776 479720 551678 658720 959440 1103356 1379195 1918880 2206712 2758390 4413424 5516780 8826848 11033560 22067120 44134240