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14034840 = 23352937109
BaseRepresentation
bin110101100010…
…011110011000
3222102001011220
4311202132120
512043103330
61220452040
7230202621
oct65423630
928361156
1014034840
117a16646
12484a020
132ba5251
141c14a48
151373710
hexd62798

14034840 has 128 divisors (see below), whose sum is σ = 45144000. Its totient is φ = 3483648.

The previous prime is 14034827. The next prime is 14034841. The reversal of 14034840 is 4843041.

14034840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 14034840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14034841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128706 + ... + 128814.

Almost surely, 214034840 is an apocalyptic number.

14034840 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 14034840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22572000).

14034840 is an abundant number, since it is smaller than the sum of its proper divisors (31109160).

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

14034840 is a wasteful number, since it uses less digits than its factorization.

14034840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 14034840 is about 3746.3101847017. The cubic root of 14034840 is about 241.2139878414.

Adding to 14034840 its reverse (4843041), we get a palindrome (18877881).

It can be divided in two parts, 140 and 34840, that added together give a triangular number (34980 = T264).

The spelling of 14034840 in words is "fourteen million, thirty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 37 40 58 60 74 87 109 111 116 120 145 148 174 185 218 222 232 290 296 327 348 370 435 436 444 545 555 580 654 696 740 870 872 888 1073 1090 1110 1160 1308 1480 1635 1740 2146 2180 2220 2616 3161 3219 3270 3480 4033 4292 4360 4440 5365 6322 6438 6540 8066 8584 9483 10730 12099 12644 12876 13080 15805 16095 16132 18966 20165 21460 24198 25288 25752 31610 32190 32264 37932 40330 42920 47415 48396 60495 63220 64380 75864 80660 94830 96792 116957 120990 126440 128760 161320 189660 233914 241980 350871 379320 467828 483960 584785 701742 935656 1169570 1403484 1754355 2339140 2806968 3508710 4678280 7017420 14034840