Search a number
-
+
18034240 = 26578397
BaseRepresentation
bin100010011001…
…0111001000000
31020221020022211
41010302321000
514104043430
61442311504
7306200650
oct104627100
936836284
1018034240
11a1a8434
126058594
133975763
142576360
1518b372a
hex1132e40

18034240 has 112 divisors (see below), whose sum is σ = 50182272. Its totient is φ = 6045696.

The previous prime is 18034217. The next prime is 18034241. The reversal of 18034240 is 4243081.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (18034241) 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, 185872 + ... + 185968.

It is an arithmetic number, because the mean of its divisors is an integer number (448056).

Almost surely, 218034240 is an apocalyptic number.

18034240 is a gapful number since it is divisible by the number (10) 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 18034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25091136).

18034240 is an abundant number, since it is smaller than the sum of its proper divisors (32148032).

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

18034240 is an equidigital number, since it uses as much as digits as its factorization.

18034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 18034240 is about 4246.6739926677. The cubic root of 18034240 is about 262.2402085825.

The spelling of 18034240 in words is "eighteen million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 83 97 112 140 160 166 194 224 280 320 332 388 415 448 485 560 581 664 679 776 830 970 1120 1162 1328 1358 1552 1660 1940 2240 2324 2656 2716 2905 3104 3320 3395 3880 4648 5312 5432 5810 6208 6640 6790 7760 8051 9296 10864 11620 13280 13580 15520 16102 18592 21728 23240 26560 27160 31040 32204 37184 40255 43456 46480 54320 56357 64408 80510 92960 108640 112714 128816 161020 185920 217280 225428 257632 281785 322040 450856 515264 563570 644080 901712 1127140 1288160 1803424 2254280 2576320 3606848 4508560 9017120 18034240